32581 + Interview Questions in Mathematics

1.	An equation is called a linear equation if the power of its variables is ____
Answer» An equation is called a linear equation if the power of its variables is ____

Discussion

2.	Write the value of cosec2 θ (1+cos θ)(1−sin θ).
Answer» Write the value of $c o s e c^{2} θ (1 + c o s θ) (1 - s i n θ)$ .

Discussion

3.	The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other ?
Answer» The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other ?

Discussion

4.	Find the sum of all natural numbers between 200 and 400 which are divisible by 7.
Answer» Find the sum of all natural numbers between 200 and 400 which are divisible by 7.

Discussion

5.	Solve the following systems of equations: 4x+5y=7 3x+4y=5
Answer» Solve the following systems of equations: $\frac{4}{x} + 5 y = 7$ $\frac{3}{x} + 4 y = 5$

5.

Solve the following systems of equations: 4x+5y=7 3x+4y=5

Answer»

Solve the following systems of equations:

$\frac{4}{x} + 5 y = 7$

$\frac{3}{x} + 4 y = 5$

Discussion

6.	In the side of square is 28 cm, and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.
Answer» In the side of square is 28 cm, and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

6.

In the side of square is 28 cm, and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

Answer»

In the side of square is 28 cm, and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

Discussion

7.	The angle of elevation of the top of a tower from a point A on the ground is 30∘. On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60∘. Find the height of the tower and the distance of the tower from the point A.
Answer» The angle of elevation of the top of a tower from a point A on the ground is $30^{\circ}$ . On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to $60^{\circ}$ . Find the height of the tower and the distance of the tower from the point A.

Discussion

8.	Two boys and three girls can complete a task in 8 days, while eleven boys and nine girls can complete the same task in 2 days. If a boy is paid Rs. 435 per day, then find the daily wages of a girl.
Answer» Two boys and three girls can complete a task in 8 days, while eleven boys and nine girls can complete the same task in 2 days. If a boy is paid Rs. 435 per day, then find the daily wages of a girl.

Discussion

9.	In an AP, the first term is 2, the last term is 29 and the sum fo all the terms is 155. Find the common difference.
Answer» In an AP, the first term is 2, the last term is 29 and the sum fo all the terms is 155. Find the common difference.

Discussion

10.	The heights of 50 girls of Class X of a school are recorded as follows: Height(in cm)135−140140−145145−150150−155155−160160−165Number of gilrs58912142 Draw a 'more than type' ogive for the above data.
Answer» The heights of 50 girls of Class X of a school are recorded as follows: $\begin{matrix} H e i g h t (i n c m) & 135 - 140 & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 N u m b e r o f g i l r s & 5 & 8 & 9 & 12 & 14 & 2 \end{matrix}$ Draw a 'more than type' ogive for the above data.

10.

The heights of 50 girls of Class X of a school are recorded as follows: Height(in cm)135−140140−145145−150150−155155−160160−165Number of gilrs58912142 Draw a 'more than type' ogive for the above data.

Answer»

The heights of 50 girls of Class X of a school are recorded as follows:

$\begin{matrix} H e i g h t (i n c m) & 135 - 140 & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 N u m b e r o f g i l r s & 5 & 8 & 9 & 12 & 14 & 2 \end{matrix}$

Draw a 'more than type' ogive for the above data.

Discussion

11.	A carpenter makes stools for electricians with a square top of side 0.5 m and at a height of 1.5 m above the ground. Also, each leg is inclined at an angle of 60∘ to the ground. Find the length of each leg and also the lengths of two steps to be put at equal distances.
Answer» A carpenter makes stools for electricians with a square top of side 0.5 m and at a height of 1.5 m above the ground. Also, each leg is inclined at an angle of $60^{\circ}$ to the ground. Find the length of each leg and also the lengths of two steps to be put at equal distances.

Discussion

12.	A says to B, “I was four times as old as you were when I was as old as you are." If the sum of their present ages is 33, then the present ages of A and B respectively are:
Answer» A says to B, “I was four times as old as you were when I was as old as you are." If the sum of their present ages is 33, then the present ages of A and B respectively are:

Discussion

13.	The value of cot12∘.cot38∘.cot52∘.cot60∘.cot78∘ is:
Answer» The value of $cot 12^{\circ} . cot 38^{\circ} . cot 52^{\circ} . cot 60^{\circ} . cot 78^{\circ}$ is:

Discussion

14.	For the table given below, which class has different class inteval? HeightNumber of students150−1544155−1593160−1642165−1681169−1732
Answer» For the table given below, which class has different class inteval? $\begin{matrix} H e i g h t & N u m b e r o f s t u d e n t s 150 - 154 & 4 155 - 159 & 3 160 - 164 & 2 165 - 168 & 1 169 - 173 & 2 \end{matrix}$

14.

For the table given below, which class has different class inteval? HeightNumber of students150−1544155−1593160−1642165−1681169−1732

Answer»

For the table given below, which class has different class inteval?

$\begin{matrix} H e i g h t & N u m b e r o f s t u d e n t s 150 - 154 & 4 155 - 159 & 3 160 - 164 & 2 165 - 168 & 1 169 - 173 & 2 \end{matrix}$

Discussion

15.	The solution set for the given inequations 8 < 2x -4 and 3x+1<46x∈R on the number line is?
Answer» The solution set for the given inequations 8 < 2x -4 and $3 x + 1 < 46 x \in R$ on the number line is?

Discussion

16.	Find the value of x in the diagram below.
Answer» Find the value of $x$ in the diagram below.

16.

Find the value of x in the diagram below.

Answer»

Find the value of $x$ in the diagram below.

Discussion

17.	Three distinct real numbers, a, b, c are in G.P. such that a + b+ c= x b, then
Answer» Three distinct real numbers, a, b, c are in G.P. such that a + b+ c= x b, then

Discussion

18.	Construct a cyclic quadrilateral ABCD when AB = 6.4 cm,∠ABX=45∘, AD = 4.8cm and AB \|\| CD.
Answer» Construct a cyclic quadrilateral ABCD when AB = 6.4 cm, $∠ A B X = 45^{\circ}$ , AD = 4.8cm and AB \|\| CD.

Discussion

19.	Use the following information to answer the next question. What is the volume of the given figure? (Use π = 22/7)
Answer» Use the following information to answer the next question. What is the volume of the given figure? (Use π = ²²/₇)

19.

Use the following information to answer the next question. What is the volume of the given figure? (Use π = 22/7)

Answer»

Use the following information to answer the next question.

What is the volume of the given figure? (Use π = ²²/₇)

Discussion

20.	In fig., the area of triangle ABC (in sq. units) is:
Answer» In fig., the area of triangle ABC (in sq. units) is:

20.

In fig., the area of triangle ABC (in sq. units) is:

Answer»

In fig., the area of triangle ABC (in sq. units) is:

Discussion

21.	Which of the following form an infinite sequence? (i) Odd positive integers between 1 and 99 (ii) 1.5, 2.4, 3.3, 4.2, 5.1, 6.0, 6.9, 7.5 (iii) Sequence of all integers (iv)Prime numbers less than 25.
Answer» Which of the following form an infinite sequence? (i) Odd positive integers between 1 and 99 (ii) 1.5, 2.4, 3.3, 4.2, 5.1, 6.0, 6.9, 7.5 (iii) Sequence of all integers (iv)Prime numbers less than 25.

21.

Which of the following form an infinite sequence? (i) Odd positive integers between 1 and 99 (ii) 1.5, 2.4, 3.3, 4.2, 5.1, 6.0, 6.9, 7.5 (iii) Sequence of all integers (iv)Prime numbers less than 25.

Answer»

Which of the following form an infinite sequence?

(i) Odd positive integers between 1 and 99

(ii) 1.5, 2.4, 3.3, 4.2, 5.1, 6.0, 6.9, 7.5

(iii) Sequence of all integers

(iv)Prime numbers less than 25.

Discussion

22.	what is the correct option for 2√x - x3
Answer» what is the correct option for 2√x - x³

Discussion

23.	If two zeros of the polynomial f(x)=x3−4x2−3x+12 are √3 and −√3, then find its third zero. [2 MARKS]
Answer» If two zeros of the polynomial $f (x) = x^{3} - 4 x^{2} - 3 x + 12$ are $\sqrt{3}$ and $- \sqrt{3}$ , then find its third zero. [2 MARKS]

Discussion

24.	Question 1 (iii) Solve the following pair of linear equations by the elimination method and the substitution method: 3x - 5y - 4 = 0 and 9x = 2y + 7
Answer» Question 1 (iii) Solve the following pair of linear equations by the elimination method and the substitution method: 3x - 5y - 4 = 0 and 9x = 2y + 7

Discussion

25.	Consider the following distribution of SO2 concentration in the air(in ppm = parts per million) in 30 localities. We wish to find the mean SO2 concentration using step assumed mean method. Find the mean. Class IntervalFrequency(fi)Class mark(xi)di=xi−a0.00−0.0440.02−0.080.04−0.0890.06A.........0.08−0.1290.10B........0.12−0.1620.140.040.16−0.2040.18C........0.20−0.2420.220.12Total∑fi=30
Answer» Consider the following distribution of SO₂ concentration in the air(in ppm = parts per million) in 30 localities. We wish to find the mean SO₂ concentration using step assumed mean method. Find the mean. $\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a 0.00 - 0.04 & 4 & 0.02 & - 0.08 0.04 - 0.08 & 9 & 0.06 & A . . . . . . . . . 0.08 - 0.12 & 9 & 0.10 & B . . . . . . . . 0.12 - 0.16 & 2 & 0.14 & 0.04 0.16 - 0.20 & 4 & 0.18 & C . . . . . . . . 0.20 - 0.24 & 2 & 0.22 & 0.12 T o t a l & \sum f_{i} = 30 \end{matrix}$

25.

Consider the following distribution of SO2 concentration in the air(in ppm = parts per million) in 30 localities. We wish to find the mean SO2 concentration using step assumed mean method. Find the mean. Class IntervalFrequency(fi)Class mark(xi)di=xi−a0.00−0.0440.02−0.080.04−0.0890.06A.........0.08−0.1290.10B........0.12−0.1620.140.040.16−0.2040.18C........0.20−0.2420.220.12Total∑fi=30

Answer»

Consider the following distribution of SO₂ concentration in the air(in ppm = parts per million) in 30 localities. We wish to find the mean SO₂ concentration using step assumed mean method. Find the mean.

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a 0.00 - 0.04 & 4 & 0.02 & - 0.08 0.04 - 0.08 & 9 & 0.06 & A . . . . . . . . . 0.08 - 0.12 & 9 & 0.10 & B . . . . . . . . 0.12 - 0.16 & 2 & 0.14 & 0.04 0.16 - 0.20 & 4 & 0.18 & C . . . . . . . . 0.20 - 0.24 & 2 & 0.22 & 0.12 T o t a l & \sum f_{i} = 30 \end{matrix}$

Discussion

26.	x+y=30 and are coincident lines.
Answer» $x + y = 30$ and are coincident lines.

Discussion

27.	The distance (in feet) jumped by an athlete in a long jump competition are given as : 6.45 , 7.01 , 6.78 , 6.82 , 6.64 , 6.5 What is the mean distance he jumped?
Answer» The distance (in feet) jumped by an athlete in a long jump competition are given as : 6.45 , 7.01 , 6.78 , 6.82 , 6.64 , 6.5 What is the mean distance he jumped?

27.

The distance (in feet) jumped by an athlete in a long jump competition are given as : 6.45 , 7.01 , 6.78 , 6.82 , 6.64 , 6.5 What is the mean distance he jumped?

Answer»

The distance (in feet) jumped by an athlete in a long jump competition are given as :
6.45 , 7.01 , 6.78 , 6.82 , 6.64 , 6.5

What is the mean distance he jumped?

Discussion

28.	Prove that cotA+sinA÷cotA-sinA=1-cosA+secA÷1+cosA-secA
Answer» Prove that cotA+sinA÷cotA-sinA=1-cosA+secA÷1+cosA-secA

28.

Prove that cotA+sinA÷cotA-sinA=1-cosA+secA÷1+cosA-secA

Answer»

Prove that

cotA+sinA÷cotA-sinA=1-cosA+secA÷1+cosA-secA

Discussion

29.	The coordinates of the vertices of a parallelogram ABCD are A(x, y), B (5, 8), C (4, 7) and D (2, -4). Find the equation of diagonal BD.
Answer» The coordinates of the vertices of a parallelogram ABCD are A(x, y), B (5, 8), C (4, 7) and D (2, -4). Find the equation of diagonal BD.

Discussion

30.	If sin θ=45 and cos θ=35, then find tan θ.
Answer» $If s i n θ = \frac{4}{5} and c o s θ = \frac{3}{5}, then find t a n θ .$

Discussion

31.	Question 3 (ii) For the following A.Ps, write the first term and the common difference. (ii) -5, - 1, 3, 7 …
Answer» Question 3 (ii) For the following A.Ps, write the first term and the common difference. (ii) -5, - 1, 3, 7 …

Discussion

32.	Question 5 If sec4A=cosec(A−20∘), where 4A is an acute angle, find the value of A.
Answer» Question 5 If $s e c 4 A = c o s e c (A - 20^{\circ})$ , where 4A is an acute angle, find the value of A.

Discussion

33.	If the hypotenuse of a right-angled triangle is h and it's inradius is r, then it's area = _____.
Answer» If the hypotenuse of a right-angled triangle is h and it's inradius is r, then it's area = _____.

33.

If the hypotenuse of a right-angled triangle is h and it's inradius is r, then it's area = _____.

Answer»

If the hypotenuse of a right-angled triangle is h and it's inradius is r, then it's area = _____.

Discussion

34.	Find the equation of the altitude AD of the triangle whose vertices are (7,−1), (−2,8) and (1,2).
Answer» Find the equation of the altitude AD of the triangle whose vertices are $(7, - 1)$ , $(- 2, 8)$ and $(1, 2)$ .

Discussion

35.	The given table shows the rainfall in mm in different cities in India for a year. CitiesRainfall (mm)Delhi44.6Mumbai63.5Kolkata60.7Pune56.2Bangalore60.1Bhubaneswar49.4Chennai61.7Ooty56.9Ahmedabad34.4Jaipur32.5 Find the Mean rainfall in the year.
Answer» The given table shows the rainfall in mm in different cities in India for a year. $\begin{matrix} Cities & Rainfall (mm) Delhi & 44.6 Mumbai & 63.5 Kolkata & 60.7 Pune & 56.2 Bangalore & 60.1 Bhubaneswar & 49.4 Chennai & 61.7 Ooty & 56.9 Ahmedabad & 34.4 Jaipur & 32.5 \end{matrix}$ Find the Mean rainfall in the year.

35.

The given table shows the rainfall in mm in different cities in India for a year. CitiesRainfall (mm)Delhi44.6Mumbai63.5Kolkata60.7Pune56.2Bangalore60.1Bhubaneswar49.4Chennai61.7Ooty56.9Ahmedabad34.4Jaipur32.5 Find the Mean rainfall in the year.

Answer»

The given table shows the rainfall in mm in different cities in India for a year.

$\begin{matrix} Cities & Rainfall (mm) Delhi & 44.6 Mumbai & 63.5 Kolkata & 60.7 Pune & 56.2 Bangalore & 60.1 Bhubaneswar & 49.4 Chennai & 61.7 Ooty & 56.9 Ahmedabad & 34.4 Jaipur & 32.5 \end{matrix}$

Find the Mean rainfall in the year.

Discussion

36.	Question 4 Without actual division , prove that 2x4–5x3+2x2−x+2 is divisible by x2−3x+2.
Answer» Question 4 Without actual division , prove that $2 x^{4} - 5 x^{3} + 2 x^{2} - x + 2$ is divisible by $x^{2} - 3 x + 2$ .

Discussion

37.	If A=[abba] and A2=[αββα], then
Answer» If $A = [\begin{matrix} a & b b & a \end{matrix}]$ and $A^{2} = [\begin{matrix} α & β β & α \end{matrix}]$ , then

Discussion

38.	In the given figure, AB is the diameter of a circle and P is a point on AB extended. A tangent from P touches the circle at Q. If PQ = 4 cm and PA = 8 cm , then the radius of the circle is ____ cm.
Answer» In the given figure, AB is the diameter of a circle and P is a point on AB extended. A tangent from P touches the circle at Q. If PQ = 4 cm and PA = 8 cm , then the radius of the circle is ____ cm.

38.

In the given figure, AB is the diameter of a circle and P is a point on AB extended. A tangent from P touches the circle at Q. If PQ = 4 cm and PA = 8 cm , then the radius of the circle is ____ cm.

Answer»

In the given figure, AB is the diameter of a circle and P is a point on AB extended.

A tangent from P touches the circle at Q. If PQ = 4 cm and PA = 8 cm ,

then the radius of the circle is ____ cm.

Discussion

39.	What is the remainder when 3x2−7x+5 is divided by (x−1) ?
Answer» What is the remainder when $3 x^{2} - 7 x + 5$ is divided by $(x - 1)$ ?

Discussion

40.	Which of the following operations could make the expression x2+8x√3 a perfect square?
Answer» Which of the following operations could make the expression $x^{2} + \frac{8 x}{\sqrt{3}}$ a perfect square?

Discussion

41.	Solve by any method x/a-y/b=a-b x/a^2-y/b^2=0
Answer» Solve by any method x/a-y/b=a-b x/a^2-y/b^2=0

41.

Solve by any method x/a-y/b=a-b x/a^2-y/b^2=0

Answer»

Solve by any method

x/a-y/b=a-b

x/a^2-y/b^2=0

Discussion

42.	P and Q are points on sides AB and AC respectively of △ABC. If AP = 3 cm, PB = 6cm. AQ = 5 cm and QC = 10 cm, show that BC = 3PQ.
Answer» P and Q are points on sides AB and AC respectively of $△ A B C$ . If AP = 3 cm, PB = 6cm. AQ = 5 cm and QC = 10 cm, show that BC = 3PQ.

Discussion

43.	Plastic drum of cylindrical shape is made by melting spherical solid plastic balls of radius 1cm . Find the number of balls required to make the drum of thickness 2 cm , height is 90 cm and outer radius is 30 cm . ( Drum has no led)
Answer» Plastic drum of cylindrical shape is made by melting spherical solid plastic balls of radius 1cm . Find the number of balls required to make the drum of thickness 2 cm , height is 90 cm and outer radius is 30 cm . ( Drum has no led)

Discussion

44.	The equation of a straight line passing through the origin and perpendicular to the straight line 2x + 3y - 7 = 0 is ______.
Answer» The equation of a straight line passing through the origin and perpendicular to the straight line 2x + 3y - 7 = 0 is ______.

Discussion

45.	O is the centre of the incircle of the right triangle ABC, as shown. OQBR is of what shape?
Answer» O is the centre of the incircle of the right triangle ABC, as shown. OQBR is of what shape?

45.

O is the centre of the incircle of the right triangle ABC, as shown. OQBR is of what shape?

Answer»

O is the centre of the incircle of the right triangle ABC, as shown. OQBR is of what shape?

Discussion

46.	If a pole of height 6 m casts a shadow 2√3 m long on the ground, then the sun's elevation is?
Answer» If a pole of height 6 m casts a shadow 2√3 m long on the ground, then the sun's elevation is?

Discussion

47.	A company 's shares has a nominal value of ₹ 180 and has a annual dividend of 15 % . If a man gets 10 % on his investment, find the price he paid for each share
Answer» A company 's shares has a nominal value of ₹ 180 and has a annual dividend of 15 % . If a man gets 10 % on his investment, find the price he paid for each share

47.

A company 's shares has a nominal value of ₹ 180 and has a annual dividend of 15 % . If a man gets 10 % on his investment, find the price he paid for each share

Answer»

A company 's shares has a nominal value of ₹ 180 and has a annual dividend of 15 % . If a man gets 10 % on his investment, find the price he paid for each share

Discussion

48.	Solve (−15)≤(3x10)+1<25 and find the range of x.
Answer» Solve $(\frac{- 1}{5}) \leq (\frac{3 x}{10}) + 1 < \frac{2}{5}$ and find the range of x.

Discussion

49.	How many irrational numbers lie between √3 and √2 ?
Answer» How many irrational numbers lie between √3 and √2 ?

Discussion

50.	Find the LCM of 1 and 1/3
Answer» Find the LCM of 1 and 1/3

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

An equation is called a linear equation if the power of its variables is ____

Write the value of cosec2 θ (1+cos θ)(1−sin θ).

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other ?

Find the sum of all natural numbers between 200 and 400 which are divisible by 7.

Solve the following systems of equations: 4x+5y=7 3x+4y=5

In the side of square is 28 cm, and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

The angle of elevation of the top of a tower from a point A on the ground is 30∘. On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60∘. Find the height of the tower and the distance of the tower from the point A.

Two boys and three girls can complete a task in 8 days, while eleven boys and nine girls can complete the same task in 2 days. If a boy is paid Rs. 435 per day, then find the daily wages of a girl.

In an AP, the first term is 2, the last term is 29 and the sum fo all the terms is 155. Find the common difference.

The heights of 50 girls of Class X of a school are recorded as follows: Height(in cm)135−140140−145145−150150−155155−160160−165Number of gilrs58912142 Draw a 'more than type' ogive for the above data.

A carpenter makes stools for electricians with a square top of side 0.5 m and at a height of 1.5 m above the ground. Also, each leg is inclined at an angle of 60∘ to the ground. Find the length of each leg and also the lengths of two steps to be put at equal distances.

A says to B, “I was four times as old as you were when I was as old as you are." If the sum of their present ages is 33, then the present ages of A and B respectively are:

The value of cot12∘.cot38∘.cot52∘.cot60∘.cot78∘ is:

For the table given below, which class has different class inteval? HeightNumber of students150−1544155−1593160−1642165−1681169−1732

The solution set for the given inequations 8 &lt; 2x -4 and 3x+1&lt;46x∈R on the number line is?

Find the value of x in the diagram below.

Three distinct real numbers, a, b, c are in G.P. such that a + b+ c= x b, then

Construct a cyclic quadrilateral ABCD when AB = 6.4 cm,∠ABX=45∘, AD = 4.8cm and AB || CD.

Use the following information to answer the next question. What is the volume of the given figure? (Use π = 22/7)

In fig., the area of triangle ABC (in sq. units) is:

Which of the following form an infinite sequence? (i) Odd positive integers between 1 and 99 (ii) 1.5, 2.4, 3.3, 4.2, 5.1, 6.0, 6.9, 7.5 (iii) Sequence of all integers (iv)Prime numbers less than 25.

what is the correct option for 2√x - x3

If two zeros of the polynomial f(x)=x3−4x2−3x+12 are √3 and −√3, then find its third zero. [2 MARKS]

Question 1 (iii) Solve the following pair of linear equations by the elimination method and the substitution method: 3x - 5y - 4 = 0 and 9x = 2y + 7

x+y=30 and are coincident lines.

The distance (in feet) jumped by an athlete in a long jump competition are given as : 6.45 , 7.01 , 6.78 , 6.82 , 6.64 , 6.5 What is the mean distance he jumped?

Prove that cotA+sinA÷cotA-sinA=1-cosA+secA÷1+cosA-secA

The coordinates of the vertices of a parallelogram ABCD are A(x, y), B (5, 8), C (4, 7) and D (2, -4). Find the equation of diagonal BD.

If sin θ=45 and cos θ=35, then find tan θ.

Question 3 (ii) For the following A.Ps, write the first term and the common difference. (ii) -5, - 1, 3, 7 …

Question 5 If sec4A=cosec(A−20∘), where 4A is an acute angle, find the value of A.

If the hypotenuse of a right-angled triangle is h and it's inradius is r, then it's area = _____.

Find the equation of the altitude AD of the triangle whose vertices are (7,−1), (−2,8) and (1,2).

The given table shows the rainfall in mm in different cities in India for a year. CitiesRainfall (mm)Delhi44.6Mumbai63.5Kolkata60.7Pune56.2Bangalore60.1Bhubaneswar49.4Chennai61.7Ooty56.9Ahmedabad34.4Jaipur32.5 Find the Mean rainfall in the year.

Question 4 Without actual division , prove that 2x4–5x3+2x2−x+2 is divisible by x2−3x+2.

If A=[abba] and A2=[αββα], then

In the given figure, AB is the diameter of a circle and P is a point on AB extended. A tangent from P touches the circle at Q. If PQ = 4 cm and PA = 8 cm , then the radius of the circle is ____ cm.

What is the remainder when 3x2−7x+5 is divided by (x−1) ?

Which of the following operations could make the expression x2+8x√3 a perfect square?

Solve by any method x/a-y/b=a-b x/a^2-y/b^2=0

P and Q are points on sides AB and AC respectively of △ABC. If AP = 3 cm, PB = 6cm. AQ = 5 cm and QC = 10 cm, show that BC = 3PQ.

Plastic drum of cylindrical shape is made by melting spherical solid plastic balls of radius 1cm . Find the number of balls required to make the drum of thickness 2 cm , height is 90 cm and outer radius is 30 cm . ( Drum has no led)

The equation of a straight line passing through the origin and perpendicular to the straight line 2x + 3y - 7 = 0 is ______.

O is the centre of the incircle of the right triangle ABC, as shown. OQBR is of what shape?

If a pole of height 6 m casts a shadow 2√3 m long on the ground, then the sun's elevation is?

A company 's shares has a nominal value of ₹ 180 and has a annual dividend of 15 % . If a man gets 10 % on his investment, find the price he paid for each share

Solve (−15)≤(3x10)+1&lt;25 and find the range of x.

How many irrational numbers lie between √3 and √2 ?

Find the LCM of 1 and 1/3

The solution set for the given inequations 8 < 2x -4 and 3x+1<46x∈R on the number line is?

Solve (−15)≤(3x10)+1<25 and find the range of x.