32581 + Interview Questions in Mathematics Page 76 InterviewSolution

3751.	A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere
Answer» A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere

Discussion

3752.	If ∆ABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC = 7 units. Find ∠B, AB and AC.
Answer» If ∆ABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC = 7 units. Find ∠B, AB and AC.

Discussion

3753.	Draw the graph of y=2x2+x−6 and hence solve 2x2+x–10=0
Answer» Draw the graph of $y = 2 x^{2} + x - 6$ and hence solve $2 x^{2} + x - 10 = 0$

Discussion

3754.	Question 2 (i) Verify that each of the following is an AP and then write its next three terms. 0,14,12,34,⋯
Answer» Question 2 (i) Verify that each of the following is an AP and then write its next three terms. $0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \dots$

Discussion

3755.	Area of quadriateral formed by a pair of tangents from the point (4, 5) to the circle x²+y²-4x - 2y-110and a pair of its radii is
Answer» Area of quadriateral formed by a pair of tangents from the point (4, 5) to the circle x²+y²-4x - 2y-110and a pair of its radii is

Discussion

3756.	In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are 10 potatoes in the line. A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and he continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?
Answer» In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are 10 potatoes in the line. A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and he continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?

Discussion

3757.	Two sets of maths and science books containing 1680 and 1056 books respectively in a library have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Assuming that all the books are of the same thickness determine the total number of stacks.
Answer» Two sets of maths and science books containing 1680 and 1056 books respectively in a library have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Assuming that all the books are of the same thickness determine the total number of stacks.

Discussion

3758.	The equation of the common tangent to the circles x2 + y2 − 4x + 6y − 12 = 0 and x2 + y2 + 6x + 18y + 26 = 0 at their point of contact.
Answer» The equation of the common tangent to the circles $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$ at their point of contact.

Discussion

3759.	Solve the following system of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis:2x-3y+4=0 x+2y-5=0
Answer» Solve the following system of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis: $2 x - 3 y + 4 = 0 x + 2 y - 5 = 0$

Discussion

3760.	The sum of two numbers is 135 and their H.C.F. is 27. If their L.C.M. is 162, the numbers are:
Answer» The sum of two numbers is 135 and their H.C.F. is 27. If their L.C.M. is 162, the numbers are:

Discussion

3761.	Use the given letters to write the answer. (i) There are ‘a’ trees in the village Lat. If the number of trees increases every year by ‘b’, then how many trees will there be after ‘x’ years? (ii) For the parade there are y students in each row and x such row are formed. Then, how many students are there for the parade in all ? (iii) The tens and units place of a two digit number is m and n respectively. Write the polynomial which represents the two digit number.
Answer» Use the given letters to write the answer. (i) There are ‘a’ trees in the village Lat. If the number of trees increases every year by ‘b’, then how many trees will there be after ‘x’ years? (ii) For the parade there are y students in each row and x such row are formed. Then, how many students are there for the parade in all ? (iii) The tens and units place of a two digit number is m and n respectively. Write the polynomial which represents the two digit number.

Discussion

3762.	54 is divided into 2 parts such that sum of 10 times the first part and 22 times the second part is 780. The larger part is
Answer» 54 is divided into 2 parts such that sum of 10 times the first part and 22 times the second part is 780. The larger part is

Discussion

3763.	Question 65State whether the following statement is true or false:For every natural number m, (2m−1,2m2−2m, 2m2−2m+1) is a pythagorean triplet.
Answer» Question 65 State whether the following statement is true or false: For every natural number $m$ , $(2 m - 1, 2 m^{2} - 2 m$ , $2 m^{2} - 2 m + 1$ ) is a pythagorean triplet.

3763.

Question 65State whether the following statement is true or false:For every natural number m, (2m−1,2m2−2m, 2m2−2m+1) is a pythagorean triplet.

Answer»

Question 65

State whether the following statement is true or false:

For every natural number $m$ , $(2 m - 1, 2 m^{2} - 2 m$ , $2 m^{2} - 2 m + 1$ ) is a pythagorean triplet.

Discussion

3764.	{ 4. Number of values(s) of }A for which the system of }}{ equations }x^2=y^2 and }(x-A)^2+y^2=1 has exactly }3} solutions, is
Answer» { 4. Number of values(s) of }A for which the system of }}{ equations }x^2=y^2 and }(x-A)^2+y^2=1 has exactly }3} solutions, is

Discussion

3765.	In the figure, PQ \|\| AB, CQ = 6 cm,CB = 8 cm. If CP = 7 cm,then what is the length of AC?
Answer» $In the figure, PQ \|\| AB, CQ = 6 cm, CB = 8 cm. If CP = 7 cm, then what is the length of AC?$

3765.

In the figure, PQ || AB, CQ = 6 cm,CB = 8 cm. If CP = 7 cm,then what is the length of AC?

Answer»

$In the figure, PQ || AB, CQ = 6 cm, CB = 8 cm. If CP = 7 cm, then what is the length of AC?$

Discussion

3766.	If 4 times the 4th term of an AP is equal to 18 times its 18th term then find its 22nd term. [CBSE 2012]
Answer» If 4 times the 4th term of an AP is equal to 18 times its 18th term then find its 22nd term. [CBSE 2012]

Discussion

3767.	Find all zeros of the polynomial 2x4 + 7x3 − 19x2 − 14x + 30, if two of its zeros are 2 and -2.
Answer» Find all zeros of the polynomial 2x⁴ + 7x³ − 19x² − 14x + 30, if two of its zeros are $\sqrt{2} and - \sqrt{2}$ .

Discussion

3768.	O is the centre of a circle of a radius 8 cm. the tangent at a point A on the circle cuts a line through O at B such that AB = 15 cm. Find OB.
Answer» O is the centre of a circle of a radius 8 cm. the tangent at a point A on the circle cuts a line through O at B such that AB = 15 cm. Find OB.

Discussion

3769.	In the following figure, an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π = 3.14).
Answer» In the following figure, an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π = 3.14).

Discussion

3770.	Question 2A quadratic polynomial, who zeroes are -3 and 4, is(a) x2–x+12(b) x2+x+12(c) x22−x2−6(d) 2x2+2x–24
Answer» Question 2 A quadratic polynomial, who zeroes are -3 and 4, is (a) $x^{2} - x + 12$ (b) $x^{2} + x + 12$ (c) $\frac{x^{2}}{2} - \frac{x}{2} - 6$ (d) $2 x^{2} + 2 x - 24$

Discussion

3771.	In triangle ABC, ∠CAB=40∘, AC = 6 cm, AB = 7 cm. Find the length BC. [sin 40∘=0.67, cos 40∘=0.76]
Answer» In triangle ABC, $∠ C A B = 40^{\circ}$ , AC = 6 cm, AB = 7 cm. Find the length BC. $[s i n 40^{\circ} = 0.67, c o s 40^{\circ} = 0.76]$

3771.

In triangle ABC, ∠CAB=40∘, AC = 6 cm, AB = 7 cm. Find the length BC. [sin 40∘=0.67, cos 40∘=0.76]

Answer»

In triangle ABC, $∠ C A B = 40^{\circ}$ , AC = 6 cm, AB = 7 cm. Find the length BC. $[s i n 40^{\circ} = 0.67, c o s 40^{\circ} = 0.76]$

Discussion

3772.	Find the 31st term of an A.P. whose 11th term is 38 and the 16th term is 73
Answer» Find the 31^st term of an A.P. whose 11^th term is 38 and the 16^th term is 73

Discussion

3773.	Match the value of standard deviation with respective method and their data.
Answer» Match the value of standard deviation with respective method and their data.

Discussion

3774.	Solve the following inequation: ∣∣x+14∣∣>74,xϵR [4 MARKS]
Answer» Solve the following inequation: $∣ ∣ x + \frac{1}{4} ∣ ∣ > \frac{7}{4}, x ϵ R$ [4 MARKS]

Discussion

3775.	Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers. Using the graph determine:
Answer» Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers. Using the graph determine:

3775.

Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers. Using the graph determine:

Answer»

Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers.

Using the graph determine:

Discussion

3776.	Question 4 If sinθ=ab, then cosθ is equal to (A) b√b2−a2 (B) ba (C) √b2−a2b (D) a√b2−a2
Answer» Question 4 If $s i n θ = \frac{a}{b}$ , then $c o s θ$ is equal to (A) $\frac{b}{\sqrt{b^{2} - a^{2}}}$ (B) $\frac{b}{a}$ (C) $\frac{\sqrt{b^{2} - a^{2}}}{b}$ (D) $\frac{a}{\sqrt{b^{2} - a^{2}}}$

Discussion

3777.	Prove the following trigonometric identities.1+cot2θ tanθsec2θ=cotθ
Answer» Prove the following trigonometric identities. $\frac{(1 + \cot^{2} θ) \tan θ}{\sec^{2} θ} = \cot θ$

Discussion

3778.	Find the solution of the given system of equations.x+y−82=x+2y−148=3x+y−1211
Answer» Find the solution of the given system of equations. $\frac{x + y - 8}{2} = \frac{x + 2 y - 14}{8} = \frac{3 x + y - 12}{11}$

3778.

Find the solution of the given system of equations.x+y−82=x+2y−148=3x+y−1211

Answer»

Find the solution of the given system of equations.

$\frac{x + y - 8}{2} = \frac{x + 2 y - 14}{8} = \frac{3 x + y - 12}{11}$

Discussion

3779.	Question 6Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour, if she travels 2 km by rickshaw and the remaining distance by us. On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 min longer. Find the speed of the rickshaw and of the bus.
Answer» Question 6 Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour, if she travels 2 km by rickshaw and the remaining distance by us. On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 min longer. Find the speed of the rickshaw and of the bus.

Discussion

3780.	PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is(a) 60°(b) 45°(c) 30° (d) 90°
Answer» PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is (a) 60° (b) 45° (c) 30° (d) 90°

Discussion

3781.	A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x percent, find the cost price of the article.
Answer» A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x percent, find the cost price of the article.

Discussion

3782.	In Pythagoras exercise we have questions which says DB=3CD, or something like that is given to us in the question. And with this we find out the measurements of the sides, how to find those lengths.
Answer» In Pythagoras exercise we have questions which says DB=3CD, or something like that is given to us in the question. And with this we find out the measurements of the sides, how to find those lengths.

Discussion

3783.	Write the number of real roots of the equation (x−1)2+(x−2)2+(x−3)2=0
Answer» Write the number of real roots of the equation $(x - 1)^{2} + (x - 2)^{2} + (x - 3)^{2} = 0$

Discussion

3784.	Manu started business with a capital of ₹ 4,00,000 on 1st October, 2005. He borrowed from his friend a sum of ₹ 1,00,000. He brought further ₹ 75,000 as capital on 31st March, 2006, his position was:Cash: ₹ 30,000; Stock: ₹ 4,70,000; Debtors: ₹ 3,50,000 and Creditors: ₹ 3,00,000.He withdrew ₹ 8,000 per month during this period. Calculate profit on loss for the period.
Answer» Manu started business with a capital of ₹ 4,00,000 on 1st October, 2005. He borrowed from his friend a sum of ₹ 1,00,000. He brought further ₹ 75,000 as capital on 31st March, 2006, his position was: Cash: ₹ 30,000; Stock: ₹ 4,70,000; Debtors: ₹ 3,50,000 and Creditors: ₹ 3,00,000. He withdrew ₹ 8,000 per month during this period. Calculate profit on loss for the period.

Discussion

3785.	The angle of elevation of tower from a point A due south of it is 30∘ and from a point B due west of it is 45∘. If the height of the tower be 100m, then AB=
Answer» The angle of elevation of tower from a point $A$ due south of it is $30^{\circ}$ and from a point $B$ due west of it is $45^{\circ} .$ If the height of the tower be $100 m,$ then $A B =$

Discussion

3786.	Prove that √1+sin θ1−sin θ+√1−sin θ1+sin θ=2 sec θ [2 MARKS]
Answer» Prove that $\sqrt{\frac{1 + s i n θ}{1 - s i n θ}} + \sqrt{\frac{1 - s i n θ}{1 + s i n θ}} = 2 s e c θ$ [2 MARKS]

Discussion

3787.	If triangle ABC is an isosceles triangle in which AB = AC = 13 cm, then find the value of area of ΔADCarea of ΔEFB. (upto two decimal places)0.52
Answer» If triangle ABC is an isosceles triangle in which AB = AC = 13 cm, then find the value of $\frac{area of Δ A D C}{area of Δ E F B} .$ (upto two decimal places) 0.52

3787.

If triangle ABC is an isosceles triangle in which AB = AC = 13 cm, then find the value of area of ΔADCarea of ΔEFB. (upto two decimal places)0.52

Answer»

If triangle ABC is an isosceles triangle in which AB = AC = 13 cm, then find the value of $\frac{area of Δ A D C}{area of Δ E F B} .$ (upto two decimal places)

0.52

Discussion

3788.	Solve the following quadratic equations by factorization:3x+1-12=23x-1, x≠-1, 13
Answer» Solve the following quadratic equations by factorization: $\frac{3}{x + 1} - \frac{1}{2} = \frac{2}{3 x - 1}, x \neq - 1, \frac{1}{3}$

Discussion

3789.	D is a point on side BC of triangle ABC such that AD=AC. show that AB>AD
Answer» D is a point on side BC of triangle ABC such that AD=AC. show that AB>AD

Discussion

3790.	Two coins are tossed simultaneously. What is the probability of getting at least one head?
Answer» Two coins are tossed simultaneously. What is the probability of getting at least one head?

Discussion

3791.	A 3x3 Rubik's cube has a total surface area of 54 cm2. The area occupied by a single red tile on Rubik's cube will be?
Answer» A 3x3 Rubik's cube has a total surface area of 54 ${c m}^{2}$ . The area occupied by a single red tile on Rubik's cube will be?

Discussion

3792.	∆ABC and ∆BDE are two equilateral triangles such that D is the mid-point of BC. The ratio of the areas of triangle ABC and BDE is(a) 2 : 1(b) 1 : 2(c) 4 : 1(d) 1 : 4
Answer» ∆ABC and ∆BDE are two equilateral triangles such that D is the mid-point of BC. The ratio of the areas of triangle ABC and BDE is (a) 2 : 1 (b) 1 : 2 (c) 4 : 1 (d) 1 : 4

Discussion

3793.	If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.
Answer» If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.

Discussion

3794.	If a1,a2,a3, … is an arithmetic progression with common difference 1 and a1+a2+a3+……+a98=137, then what is the value of a2+a4+a6+……+a98? [2 MARKS]
Answer» If $a_{1}, a_{2}, a_{3}, \dots$ is an arithmetic progression with common difference 1 and $a_{1} + a_{2} + a_{3} + \dots \dots + a_{98} = 137$ , then what is the value of $a_{2} + a_{4} + a_{6} + \dots \dots + a_{98}$ ? [2 MARKS]

Discussion

3795.	If the difference of the roots of x^2 -px+q=0is unity then prove that p^2+4q^2=(1+2q)^2
Answer» If the difference of the roots of x^2 -px+q=0is unity then prove that p^2+4q^2=(1+2q)^2

Discussion

3796.	Solve each of the following systems of equations by the method of cross-multiplication :2x + y = 353x + 4y = 65
Answer» Solve each of the following systems of equations by the method of cross-multiplication : 2x + y = 35 3x + 4y = 65

Discussion

3797.	Question 3A and B are respectively the points on the sides PQ and PR of a Δ PQR such that PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm. Is AB\|\|QR? Give reasons for your answer.
Answer» Question 3 A and B are respectively the points on the sides PQ and PR of a $Δ$ PQR such that PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm. Is AB\|\|QR? Give reasons for your answer.

Discussion

3798.	27. What is formula of volume of frustum
Answer» 27. What is formula of volume of frustum

Discussion

3799.	Kumar Ltd. purchased assets of Rs. 6,30,000 from Bhanu Oil Ltd. Kumar Ltd. issued equity share of Rs. 100 each fully paid in consideration. What journal entries will be made, if the shares are issued, (a) at par, and (b) at premium of 20%.
Answer» Kumar Ltd. purchased assets of Rs. 6,30,000 from Bhanu Oil Ltd. Kumar Ltd. issued equity share of Rs. 100 each fully paid in consideration. What journal entries will be made, if the shares are issued, (a) at par, and (b) at premium of 20%.

Discussion

3800.	The centre and radius of the circle x2 + y2 + 2gx + 2yf + c=0 are
Answer» The centre and radius of the circle $x^{2} + y^{2} + 2 g x + 2 y f + c = 0$ are

Discussion

Explore topic-wise InterviewSolutions in .

A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere

If ∆ABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC = 7 units. Find ∠B, AB and AC.

Draw the graph of y=2x2+x−6 and hence solve 2x2+x–10=0

Question 2 (i) Verify that each of the following is an AP and then write its next three terms. 0,14,12,34,⋯

Area of quadriateral formed by a pair of tangents from the point (4, 5) to the circle x²+y²-4x - 2y-110and a pair of its radii is

The equation of the common tangent to the circles x2 + y2 − 4x + 6y − 12 = 0 and x2 + y2 + 6x + 18y + 26 = 0 at their point of contact.

Solve the following system of equations graphically and find the vertices and area of the ​triangle formed by these lines and the x-axis:2x-3y+4=0 x+2y-5=0

The sum of two numbers is 135 and their H.C.F. is 27. If their L.C.M. is 162, the numbers are:

54 is divided into 2 parts such that sum of 10 times the first part and 22 times the second part is 780. The larger part is

Question 65State whether the following statement is true or false:For every natural number m, (2m−1,2m2−2m, 2m2−2m+1) is a pythagorean triplet.

{ 4. Number of values(s) of }A for which the system of }}{ equations }x^2=y^2 and }(x-A)^2+y^2=1 has exactly }3} solutions, is

In the figure, PQ || AB, CQ = 6 cm,CB = 8 cm. If CP = 7 cm,then what is the length of AC?

If 4 times the 4th term of an AP is equal to 18 times its 18th term then find its 22nd term. [CBSE 2012]

Find all zeros of the polynomial 2x4 + 7x3 − 19x2 − 14x + 30, if two of its zeros are 2 and -2.

O is the centre of a circle of a radius 8 cm. the tangent at a point A on the circle cuts a line through O at B such that AB = 15 cm. Find OB.

In the following figure, an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π = 3.14).

Question 2A quadratic polynomial, who zeroes are -3 and 4, is(a) x2–x+12(b) x2+x+12(c) x22−x2−6(d) 2x2+2x–24

In triangle ABC, ∠CAB=40∘, AC = 6 cm, AB = 7 cm. Find the length BC. [sin 40∘=0.67, cos 40∘=0.76]

Find the 31st term of an A.P. whose 11th term is 38 and the 16th term is 73

Match the value of standard deviation with respective method and their data.

Solve the following inequation: ∣∣x+14∣∣&gt;74,xϵR [4 MARKS]

Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers. Using the graph determine:

Question 4 If sinθ=ab, then cosθ is equal to (A) b√b2−a2 (B) ba (C) √b2−a2b (D) a√b2−a2

Prove the following trigonometric identities.1+cot2θ tanθsec2θ=cotθ

Find the solution of the given system of equations.x+y−82=x+2y−148=3x+y−1211

PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is(a) 60°(b) 45°(c) 30° (d) 90°

A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x percent, find the cost price of the article.

In Pythagoras exercise we have questions which says DB=3CD, or something like that is given to us in the question. And with this we find out the measurements of the sides, how to find those lengths.

Write the number of real roots of the equation (x−1)2+(x−2)2+(x−3)2=0

The angle of elevation of tower from a point A due south of it is 30∘ and from a point B due west of it is 45∘. If the height of the tower be 100m, then AB=

Prove that √1+sin θ1−sin θ+√1−sin θ1+sin θ=2 sec θ [2 MARKS]

If triangle ABC is an isosceles triangle in which AB = AC = 13 cm, then find the value of area of ΔADCarea of ΔEFB. (upto two decimal places)0.52

Solve the following quadratic equations by factorization:3x+1-12=23x-1, x≠-1, 13

D is a point on side BC of triangle ABC such that AD=AC. show that AB>AD

Two coins are tossed simultaneously. What is the probability of getting at least one head?

A 3x3 Rubik's cube has a total surface area of 54 cm2. The area occupied by a single red tile on Rubik's cube will be?

∆ABC and ∆BDE are two equilateral triangles such that D is the mid-point of BC. The ratio of the areas of triangle ABC and BDE is(a) 2 : 1(b) 1 : 2(c) 4 : 1(d) 1 : 4

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.

If a1,a2,a3, … is an arithmetic progression with common difference 1 and a1+a2+a3+……+a98=137, then what is the value of a2+a4+a6+……+a98? [2 MARKS]

If the difference of the roots of x^2 -px+q=0is unity then prove that p^2+4q^2=(1+2q)^2

Solve each of the following systems of equations by the method of cross-multiplication :2x + y = 353x + 4y = 65

Question 3A and B are respectively the points on the sides PQ and PR of a Δ PQR such that PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm. Is AB||QR? Give reasons for your answer.

27. What is formula of volume of frustum

Kumar Ltd. purchased assets of Rs. 6,30,000 from Bhanu Oil Ltd. Kumar Ltd. issued equity share of Rs. 100 each fully paid in consideration. What journal entries will be made, if the shares are issued, (a) at par, and (b) at premium of 20%.

The centre and radius of the circle x2 + y2 + 2gx + 2yf + c=0 are

Solve the following system of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis:2x-3y+4=0 x+2y-5=0

Solve the following inequation: ∣∣x+14∣∣>74,xϵR [4 MARKS]