32581 + Interview Questions in Mathematics Page 15 InterviewSolution

701.	If sin θ=12, find all other trigonometric ratios of angle θ.
Answer» If $\sin θ = \frac{1}{\sqrt{2}}$ , find all other trigonometric ratios of angle θ.

Discussion

702.	A quadratic equation consists of a polynomial of degree ___ .
Answer» A quadratic equation consists of a polynomial of degree ___ .

Discussion

703.	The line 2x + y - 4 = 0 divides the line segment joining A(2, -2) and B (3, 7) in the ratio (a) 2 : 5 (b) 2 : 9 (c) 2 : 7 (d) 2 : 3
Answer» The line 2x + y - 4 = 0 divides the line segment joining A(2, -2) and B (3, 7) in the ratio (a) 2 : 5 (b) 2 : 9 (c) 2 : 7 (d) 2 : 3

703.

The line 2x + y - 4 = 0 divides the line segment joining A(2, -2) and B (3, 7) in the ratio (a) 2 : 5 (b) 2 : 9 (c) 2 : 7 (d) 2 : 3

Answer»

The line 2x + y - 4 = 0 divides the line segment joining A(2, -2) and B (3, 7) in the ratio

(a) 2 : 5 (b) 2 : 9 (c) 2 : 7 (d) 2 : 3

Discussion

704.	Find the arithmetic progression whose third term is 16 and seventh term exceeds its fifth term by 12.
Answer» Find the arithmetic progression whose third term is 16 and seventh term exceeds its fifth term by 12.

Discussion

705.	Define equal sets and equivalent sets.
Answer» Define equal sets and equivalent sets.

Discussion

706.	A cylindrical glass of internal height 7 cm, is filled with fruit juice to its brim. The volume of the juice is 1782 ml and the thickness of the glass is 1 . 5 cm. Find the outer radius of the base of the glass.
Answer» A cylindrical glass of internal height 7 cm, is filled with fruit juice to its brim. The volume of the juice is 1782 ml and the thickness of the glass is 1 . 5 cm. Find the outer radius of the base of the glass.

Discussion

707.	A die is thrown, Find the probability of getting:(a) a prime number(b) 2 or 4(c) a multiple of 2 or 3(d) an even prime number(e) a number greater than 5(f) a number lying between 2 and 6
Answer» A die is thrown, Find the probability of getting: (a) a prime number (b) 2 or 4 (c) a multiple of 2 or 3 (d) an even prime number (e) a number greater than 5 (f) a number lying between 2 and 6

Discussion

708.	Which of the following is not a polynomial ? (a) √3x2−2√3x+5 (b) 9x2−4x+√2 (c) 32x3+6x2−1√2x−8 (d) x+3x
Answer» Which of the following is not a polynomial ? (a) $\sqrt{3} x^{2} - 2 \sqrt{3} x + 5$ (b) $9 x^{2} - 4 x + \sqrt{2}$ (c) $\frac{3}{2} x^{3} + 6 x^{2} - \frac{1}{\sqrt{2}} x - 8$ (d) $x + \frac{3}{x}$

708.

Which of the following is not a polynomial ? (a) √3x2−2√3x+5 (b) 9x2−4x+√2 (c) 32x3+6x2−1√2x−8 (d) x+3x

Answer»

Which of the following is not a polynomial ?

(a) $\sqrt{3} x^{2} - 2 \sqrt{3} x + 5$ (b) $9 x^{2} - 4 x + \sqrt{2}$

(c) $\frac{3}{2} x^{3} + 6 x^{2} - \frac{1}{\sqrt{2}} x - 8$ (d) $x + \frac{3}{x}$

Discussion

709.	Write first four terms of the A.P. when the first term a and the common difference d are given as follows(i) a = 10, d = 10(ii) a = − 2, d = 0(iii) a = 4, d = − 3(iv) a = − 1 d = (v) a = − 1.25, d = − 0.25
Answer» Write first four terms of the A.P. when the first term a and the common difference d are given as follows (i) a = 10, d = 10 (ii) a = − 2, d = 0 (iii) a = 4, d = − 3 (iv) a = − 1 d = (v) a = − 1.25, d = − 0.25

709.

Write first four terms of the A.P. when the first term a and the common difference d are given as follows(i) a = 10, d = 10(ii) a = − 2, d = 0(iii) a = 4, d = − 3(iv) a = − 1 d = (v) a = − 1.25, d = − 0.25

Answer»

Write first four terms of the A.P. when the first term a and the common difference d are given as follows

(i) a = 10, d = 10

(ii) a = − 2, d = 0

(iii) a = 4, d = − 3

(iv) a = − 1 d =

(v) a = − 1.25, d = − 0.25

Discussion

710.	Find A, if tan 2A = cot(A – 24°).
Answer» Find A, if tan 2A = cot(A – 24°).

Discussion

711.	Two buildings on a plane ground are 20 m apart. From the top of the smaller building one can see the base of the taller building at an angle of depression of 50∘ and its top at an angle of elevation of 25∘. Find the height of the bigger building. [Tan 50∘=1.2 Tan 25∘=0.46]
Answer» Two buildings on a plane ground are 20 m apart. From the top of the smaller building one can see the base of the taller building at an angle of depression of $50^{\circ}$ and its top at an angle of elevation of $25^{\circ} .$ Find the height of the bigger building. $[T a n 50^{\circ} = 1.2 T a n 25^{\circ} = 0.46]$

Discussion

712.	Question 41(ii)A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is white?
Answer» Question 41(ii) A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is white?

Discussion

713.	By actual division, show that x2-3 is a factor of 2x4+3x3-2x2-9x-12
Answer» By actual division, show that $x^{2} - 3$ is a factor of $2 x^{4} + 3 x^{3} - 2 x^{2} - 9 x - 12$

Discussion

714.	Question 10 (i)CD and GH are respectively the bisectors of ∠ACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC∼ΔFEG, Show that(i)CDGH=ACFG
Answer» Question 10 (i) CD and GH are respectively the bisectors of $∠ A C B a n d ∠ E G F$ such that D and H lie on sides AB and FE of $Δ A B C$ and $Δ E F G$ respectively. If $Δ A B C \sim Δ F E G$ , Show that $(i) \frac{C D}{G H} = \frac{A C}{F G}$

Discussion

715.	A garden roller has circumference of 4.4cm . Find the area swept by it in 10 minutes
Answer» A garden roller has circumference of 4.4cm . Find the area swept by it in 10 minutes

Discussion

716.	5.8×10⁴-1.5×10³
Answer» 5.8×10⁴-1.5×10³

Discussion

717.	Find the slope of a line whose inclination to the positive direction of x-axis in anticlockwise direction is 30°.
Answer» Find the slope of a line whose inclination to the positive direction of x-axis in anticlockwise direction is 30°.

Discussion

718.	Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above, do the following: In the fig., XP and XQ are tangents from T to the circle with centre O and R is any point on the circle. If AB is a tangent to the circle at R, prove that XA +AR = XB + BR
Answer» Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above, do the following: In the fig., XP and XQ are tangents from T to the circle with centre O and R is any point on the circle. If AB is a tangent to the circle at R, prove that XA +AR = XB + BR

718.

Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above, do the following: In the fig., XP and XQ are tangents from T to the circle with centre O and R is any point on the circle. If AB is a tangent to the circle at R, prove that XA +AR = XB + BR

Answer»

Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above, do the following:

In the fig., XP and XQ are tangents from T to the circle with centre O and R is any point on the circle. If AB is a tangent to the circle at R, prove that XA +AR = XB + BR

Discussion

719.	Find the correct order for constructing an incircle for triangle △ABC: 1.Draw a perpendicular from I to any side to a point D. 2.The angular bisectors intersect at the incenter I. 3.Draw the angular bisectors of ∠A and ∠B. 4.Take ID as the radius and draw a circle. 5.Construct triangle △ABC.
Answer» Find the correct order for constructing an incircle for triangle $△$ ABC: 1.Draw a perpendicular from I to any side to a point D. 2.The angular bisectors intersect at the incenter I. 3.Draw the angular bisectors of $∠$ A and $∠$ B. 4.Take ID as the radius and draw a circle. 5.Construct triangle $△$ ABC.

719.

Find the correct order for constructing an incircle for triangle △ABC: 1.Draw a perpendicular from I to any side to a point D. 2.The angular bisectors intersect at the incenter I. 3.Draw the angular bisectors of ∠A and ∠B. 4.Take ID as the radius and draw a circle. 5.Construct triangle △ABC.

Answer»

Find the correct order for constructing an incircle for triangle $△$ ABC:

1.Draw a perpendicular from I to any side to a point D.

2.The angular bisectors intersect at the incenter I.

3.Draw the angular bisectors of $∠$ A and $∠$ B.

4.Take ID as the radius and draw a circle.

5.Construct triangle $△$ ABC.

Discussion

720.	The perpendicular bisectors x+y+2=0 and x-y-1=0 of sides AB and AC of triangle ABC intersects the sides at (-1,-1) and (2,1) respectively. Then centroid and orthocentre of triangle are
Answer» The perpendicular bisectors x+y+2=0 and x-y-1=0 of sides AB and AC of triangle ABC intersects the sides at (-1,-1) and (2,1) respectively. Then centroid and orthocentre of triangle are

Discussion

721.	A fair coin is tossed 100 times. The probability of getting tails an odd number of times is
Answer» A fair coin is tossed 100 times. The probability of getting tails an odd number of times is

Discussion

722.	Question 39(i) A die has its six faces marked 0,1,1,1,6,6. Two such dice are thrown together and the total score is recorded. How many different scores are possible?
Answer» Question 39(i) A die has its six faces marked 0,1,1,1,6,6. Two such dice are thrown together and the total score is recorded. How many different scores are possible?

Discussion

723.	If the equation x2+2(k+2)x+9=0 has equal roots, then values of k are -
Answer» If the equation $x^{2} + 2 (k + 2) x + 9 = 0$ has equal roots, then values of $k$ are -

Discussion

724.	Amit bought two varieties of wheat A and B at 15/kg and 20/kg respectively. If he mix two varieties A and B in the ratio k : 1, then the rate of the mixture is 18/kg. The value of k is equal to
Answer» Amit bought two varieties of wheat A and B at 15/kg and 20/kg respectively. If he mix two varieties A and B in the ratio k : 1, then the rate of the mixture is 18/kg. The value of k is equal to

Discussion

725.	ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If ∠ADC=130∘, Calculate ∠BAC.
Answer» ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If $∠ A D C = 130^{\circ}$ , Calculate $∠$ BAC.

725.

ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If ∠ADC=130∘, Calculate ∠BAC.

Answer»

ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If $∠ A D C = 130^{\circ}$ , Calculate $∠$ BAC.

Discussion

726.	Question 24In an AP, if Sn = n(4n+1), then find the AP.
Answer» Question 24 In an AP, if $S_{n}$ = n(4n+1), then find the AP.

Discussion

727.	In the given figure, PQ is a tangent to a circle with centre O. A is the point of contact. If ∠PAB = 67∘, then the measure of ∠AQB is(a) 73∘(b) 64∘(c) 53∘(d) 44∘
Answer» In the given figure, PQ is a tangent to a circle with centre O. A is the point of contact. If ∠PAB = 67^∘, then the measure of ∠AQB is (a) 73^∘ (b) 64^∘ (c) 53^∘ (d) 44^∘

Discussion

728.	In Fig. 7.241, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, then perimeter of ∆QSR is_______.
Answer» In Fig. 7.241, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, then perimeter of ∆QSR is_______.

Discussion

729.	Let a1,a2,a3⋯ be terms of A.P. If a1+a2+⋯apa1+a2+⋯+aq=p2q2,p≠q, then a6a21 equal
Answer» Let $a_{1}, a_{2}, a_{3} \dots$ be terms of A.P. $I f \frac{a_{1} + a_{2} + \dots a_{p}}{a_{1} + a_{2} + \dots + a_{q}} = \frac{p^{2}}{q^{2}}, p \neq q,$ then $\frac{a_{6}}{a_{21}}$ equal

Discussion

730.	Some students planned a picnic. The budget for food was Rs. 480. But eight of these failed to go and thus the cost of food for each member increased by Rs. 10. How many students attended the picnic?
Answer» Some students planned a picnic. The budget for food was Rs. 480. But eight of these failed to go and thus the cost of food for each member increased by Rs. 10. How many students attended the picnic?

Discussion

731.	In the given figure, if PQ is the diameter, then x is equal to ?
Answer» In the given figure, if PQ is the diameter, then x is equal to ?

Discussion

732.	A card is drawn randomly from a pack of cards.The probability that the drawn card is neither a heart nor a king is:
Answer» A card is drawn randomly from a pack of cards.The probability that the drawn card is neither a heart nor a king is:

Discussion

733.	A hemispherical bowl of internal and external diameters 6 cm and 10 cm is melted into a right circular cylinder of radius 14 cm. Find the height of the cylinder
Answer» A hemispherical bowl of internal and external diameters $6$ cm and $10$ cm is melted into a right circular cylinder of radius $14$ cm. Find the height of the cylinder

Discussion

734.	Question 5If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
Answer» Question 5 If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Discussion

735.	Question 29On increasing a,b increases in such a manner that ab remians___and postive, then a and b are said to vary directly with each other.
Answer» Question 29 On increasing a,b increases in such a manner that $\frac{a}{b}$ remians___and postive, then a and b are said to vary directly with each other.

735.

Question 29On increasing a,b increases in such a manner that ab remians___and postive, then a and b are said to vary directly with each other.

Answer»

Question 29

On increasing a,b increases in such a manner that $\frac{a}{b}$ remians___and postive, then a and b are said to vary directly with each other.

Discussion

736.	\|A3×3\|=3,\|B3×3\|=−1 and \|C2×2\|=+2 then \|2ABC\|=
Answer» $\| A_{3 \times 3} \| = 3, \| B_{3 \times 3} \| = - 1$ and $\| C_{2 \times 2} \| = + 2$ then $\| 2 A B C \| =$

Discussion

737.	a dealer sells a toy for rs.24 and gains as much as percent as the cost price of the toy . find the cost price of the toy
Answer» a dealer sells a toy for rs.24 and gains as much as percent as the cost price of the toy . find the cost price of the toy

Discussion

738.	Insert 16 rational numbers between 2.1 and 2.2.
Answer» Insert 16 rational numbers between 2.1 and 2.2.

Discussion

739.	Find the indicated terms in the sequence, whose nth term is: an=4n−3; a17,a24.
Answer» Find the indicated terms in the sequence, whose $n^{t h}$ term is: $a_{n} = 4 n - 3; a_{17}, a_{24}$ .

Discussion

740.	Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose side are times the corresponding sides of the isosceles triangle.Give the justification of the construction.
Answer» Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose side are times the corresponding sides of the isosceles triangle. Give the justification of the construction.

740.

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose side are times the corresponding sides of the isosceles triangle.Give the justification of the construction.

Answer»

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose side are times the corresponding sides of the isosceles triangle.

Give the justification of the construction.

Discussion

741.	In the given figure, a semi circle is cut out of rectangle.Find the area of shaded portion, where the length of rectangle is 14 units and radius of the upper semicircle is 7 units.
Answer» In the given figure, a semi circle is cut out of rectangle.Find the area of shaded portion, where the length of rectangle is $14 units$ and radius of the upper semicircle is $7 units$ .

Discussion

742.	How area can be a vector. Explain in detail and in simple words
Answer» How area can be a vector. Explain in detail and in simple words

Discussion

743.	The algebra of an arithmetic sequence is 4n-1. Then the sequence is
Answer» The algebra of an arithmetic sequence is 4n-1. Then the sequence is

Discussion

744.	An urn contains lottery tickets numbered from 1 to 100. If a ticket is selected at random, then the probability that it is a perfect square is
Answer» An urn contains lottery tickets numbered from 1 to 100. If a ticket is selected at random, then the probability that it is a perfect square is

Discussion

745.	Evaluate each of the following (cos 0o+sin 45o+sin 30o)(sin 90o−cos 45o+cos 60o)
Answer» Evaluate each of the following $(c o s 0^{o} + s i n 45^{o} + s i n 30^{o}) (s i n 90^{o} - c o s 45^{o} + c o s 60^{o})$

745.

Evaluate each of the following (cos 0o+sin 45o+sin 30o)(sin 90o−cos 45o+cos 60o)

Answer»

Evaluate each of the following

$(c o s 0^{o} + s i n 45^{o} + s i n 30^{o}) (s i n 90^{o} - c o s 45^{o} + c o s 60^{o})$

Discussion

746.	Find the quantity of water in a frustum of height 14 cm and radii 3 cm and 9 cm if water is filled upto brim.1716
Answer» Find the quantity of water in a frustum of height 14 cm and radii 3 cm and 9 cm if water is filled upto brim. 1716

Discussion

747.	In the given figure, an isosceles triangle ABC with AB = AC, circumscribes a circle. Prove that the point of contact P bisects the base BC [CBSE 2012]
Answer» In the given figure, an isosceles triangle ABC with AB = AC, circumscribes a circle. Prove that the point of contact P bisects the base BC [CBSE 2012]

Discussion

748.	The length of a hall is 15 m and width is 12 m. The sum of the areas of the floor and flat root is equal to the sum of the areas of the four walls. The capacity of the hall is ________.
Answer» The length of a hall is 15 m and width is 12 m. The sum of the areas of the floor and flat root is equal to the sum of the areas of the four walls. The capacity of the hall is ________.

Discussion

749.	18. Find the orthocenter of the triangle formed by the coordinate axes and + y = 4
Answer» 18. Find the orthocenter of the triangle formed by the coordinate axes and + y = 4

Discussion

750.	Given-1) PQRST is cyclic polygon2)O is center of the circle3)PR=QR=RS4) angle PQR=128 degreeTo find- angle PTQ,angle PTS,angle ROS.
Answer» Given-1) PQRST is cyclic polygon 2)O is center of the circle 3)PR=QR=RS 4) angle PQR=128 degree To find- angle PTQ,angle PTS,angle ROS.

Discussion

Explore topic-wise InterviewSolutions in .

If sin θ=12, find all other trigonometric ratios of angle θ.

A quadratic equation consists of a polynomial of degree ___ .

The line 2x + y - 4 = 0 divides the line segment joining A(2, -2) and B (3, 7) in the ratio (a) 2 : 5 (b) 2 : 9 (c) 2 : 7 (d) 2 : 3

Find the arithmetic progression whose third term is 16 and seventh term exceeds its fifth term by 12.

Define equal sets and equivalent sets.

A cylindrical glass of internal height 7 cm, is filled with fruit juice to its brim. The volume of the juice is 1782 ml and the thickness of the glass is 1 . 5 cm. Find the outer radius of the base of the glass.

A die is thrown, Find the probability of getting:(a) a prime number(b) 2 or 4(c) a multiple of 2 or 3(d) an even prime number(e) a number greater than 5(f) a number lying between 2 and 6

Which of the following is not a polynomial ? (a) √3x2−2√3x+5 (b) 9x2−4x+√2 (c) 32x3+6x2−1√2x−8 (d) x+3x

Write first four terms of the A.P. when the first term a and the common difference d are given as follows(i) a = 10, d = 10(ii) a = − 2, d = 0(iii) a = 4, d = − 3(iv) a = − 1 d = (v) a = − 1.25, d = − 0.25

Find A, if tan 2A = cot(A – 24°).

Two buildings on a plane ground are 20 m apart. From the top of the smaller building one can see the base of the taller building at an angle of depression of 50∘ and its top at an angle of elevation of 25∘. Find the height of the bigger building. [Tan 50∘=1.2 Tan 25∘=0.46]

Question 41(ii)A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is white?

By actual division, show that x2-3 is a factor of 2x4+3x3-2x2-9x-12

Question 10 (i)CD and GH are respectively the bisectors of ∠ACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC∼ΔFEG, Show that(i)CDGH=ACFG

A garden roller has circumference of 4.4cm . Find the area swept by it in 10 minutes

5.8×10⁴-1.5×10³

Find the slope of a line whose inclination to the positive direction of x-axis in anticlockwise direction is 30°.

Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above, do the following: In the fig., XP and XQ are tangents from T to the circle with centre O and R is any point on the circle. If AB is a tangent to the circle at R, prove that XA +AR = XB + BR

The perpendicular bisectors x+y+2=0 and x-y-1=0 of sides AB and AC of triangle ABC intersects the sides at (-1,-1) and (2,1) respectively. Then centroid and orthocentre of triangle are

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is

Question 39(i) A die has its six faces marked 0,1,1,1,6,6. Two such dice are thrown together and the total score is recorded. How many different scores are possible?

If the equation x2+2(k+2)x+9=0 has equal roots, then values of k are -

Amit bought two varieties of wheat A and B at 15/kg and 20/kg respectively. If he mix two varieties A and B in the ratio k : 1, then the rate of the mixture is 18/kg. The value of k is equal to

ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If ∠ADC=130∘, Calculate ∠BAC.

Question 24In an AP, if Sn = n(4n+1), then find the AP.

In the given figure, PQ is a tangent to a circle with centre O. A is the point of contact. If ∠PAB = 67∘, then the measure of ∠AQB is(a) 73∘(b) 64∘(c) 53∘(d) 44∘

In Fig. 7.241, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, then perimeter of ∆QSR is_______.

Let a1,a2,a3⋯ be terms of A.P. If a1+a2+⋯apa1+a2+⋯+aq=p2q2,p≠q, then a6a21 equal

Some students planned a picnic. The budget for food was Rs. 480. But eight of these failed to go and thus the cost of food for each member increased by Rs. 10. How many students attended the picnic?

In the given figure, if PQ is the diameter, then x is equal to ?

A card is drawn randomly from a pack of cards.The probability that the drawn card is neither a heart nor a king is:

A hemispherical bowl of internal and external diameters 6 cm and 10 cm is melted into a right circular cylinder of radius 14 cm. Find the height of the cylinder

Question 5If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Question 29On increasing a,b increases in such a manner that ab remians___and postive, then a and b are said to vary directly with each other.

|A3×3|=3,|B3×3|=−1 and |C2×2|=+2 then |2ABC|=

a dealer sells a toy for rs.24 and gains as much as percent as the cost price of the toy . find the cost price of the toy

Insert 16 rational numbers between 2.1 and 2.2.

Find the indicated terms in the sequence, whose nth term is: an=4n−3; a17,a24.

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose side are times the corresponding sides of the isosceles triangle.Give the justification of the construction.

In the given figure, a semi circle is cut out of rectangle.Find the area of shaded portion, where the length of rectangle is 14 units and radius of the upper semicircle is 7 units.

How area can be a vector. Explain in detail and in simple words

The algebra of an arithmetic sequence is 4n-1. Then the sequence is

An urn contains lottery tickets numbered from 1 to 100. If a ticket is selected at random, then the probability that it is a perfect square is

Evaluate each of the following (cos 0o+sin 45o+sin 30o)(sin 90o−cos 45o+cos 60o)

Find the quantity of water in a frustum of height 14 cm and radii 3 cm and 9 cm if water is filled upto brim.1716

In the given figure, an isosceles triangle ABC with AB = AC, circumscribes a circle. Prove that the point of contact P bisects the base BC [CBSE 2012]

The length of a hall is 15 m and width is 12 m. The sum of the areas of the floor and flat root is equal to the sum of the areas of the four walls. The capacity of the hall is ________.

18. Find the orthocenter of the triangle formed by the coordinate axes and + y = 4

Given-1) PQRST is cyclic polygon2)O is center of the circle3)PR=QR=RS4) angle PQR=128 degreeTo find- angle PTQ,angle PTS,angle ROS.