32581 + Interview Questions in Mathematics Page 244 InterviewSolution

12151.	Find the mean of the given data:Class intervalFrequency(fi)Class mark(xi)di=xi−aui=dih0−1004050−200−2100−20039150−100−1200−3003425000300−400303501001400−500454502002
Answer» Find the mean of the given data: $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a & u_{i} = \frac{d_{i}}{h} 0 - 100 & 40 & 50 & - 200 & - 2 100 - 200 & 39 & 150 & - 100 & - 1 200 - 300 & 34 & 250 & 0 & 0 300 - 400 & 30 & 350 & 100 & 1 400 - 500 & 45 & 450 & 200 & 2 \end{matrix}$

Discussion

12152.	Find the total surface area of a conical tomb when the slant height is 8 m and diameter is 12 m.
Answer» Find the total surface area of a conical tomb when the slant height is 8 m and diameter is 12 m.

12152.

Find the total surface area of a conical tomb when the slant height is 8 m and diameter is 12 m.

Answer»

Find the total surface area of a conical tomb when the slant height is 8 m and diameter is 12 m.

Discussion

12153.	Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?
Answer» Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?

Discussion

12154.	Find the mode of the given data. Class Frequency 0−52005−1025010−1522515−2030020−2527518.75
Answer» Find the mode of the given data. $\begin{matrix} C l a s s & F r e q u e n c y 0 - 5 & 200 5 - 10 & 250 10 - 15 & 225 15 - 20 & 300 20 - 25 & 275 \end{matrix}$ 18.75

Discussion

12155.	The perimeter of a rectangle is 40 m . The length of the rectangle is 4m less than 5 times it's breadth . Find the length of the rectangle .
Answer» The perimeter of a rectangle is 40 m . The length of the rectangle is 4m less than 5 times it's breadth . Find the length of the rectangle .

Discussion

12156.	The corresponding sides of two similar triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle.
Answer» The corresponding sides of two similar triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48 $c m^{2}$ , find the area of the larger triangle.

Discussion

12157.	For very small angle of incidence of a ray of light striking a glass slab is shown in the figure belowWhich of the following expression will give the approximate result for lateral displacement? Use for small θ, sin θ≈θ and cos θ≈1
Answer» For very small angle of incidence of a ray of light striking a glass slab is shown in the figure below Which of the following expression will give the approximate result for lateral displacement? Use for small $θ, sin θ \approx θ$ and $cos θ \approx 1$

Discussion

12158.	A bill for Rs. 13,500 is drawn by Vishal on Rakesh and accepted by the latter payable at Union Bank of India. Show what journal entries would be recorded in the books of both the parties under each of the following circumstances, if the bill is met on maturity. (i) The bill is retained till the due date. (ii) The bill is discounted with SBI, for Rs. 13,140.
Answer» A bill for Rs. 13,500 is drawn by Vishal on Rakesh and accepted by the latter payable at Union Bank of India. Show what journal entries would be recorded in the books of both the parties under each of the following circumstances, if the bill is met on maturity. (i) The bill is retained till the due date. (ii) The bill is discounted with SBI, for Rs. 13,140.

12158.

A bill for Rs. 13,500 is drawn by Vishal on Rakesh and accepted by the latter payable at Union Bank of India. Show what journal entries would be recorded in the books of both the parties under each of the following circumstances, if the bill is met on maturity. (i) The bill is retained till the due date. (ii) The bill is discounted with SBI, for Rs. 13,140.

Answer»

A bill for Rs. 13,500 is drawn by Vishal on Rakesh and accepted by the latter payable at Union Bank of India. Show what journal entries would be recorded in the books of both the parties under each of the following circumstances, if the bill is met on maturity.

(i) The bill is retained till the due date.

(ii) The bill is discounted with SBI, for Rs. 13,140.

Discussion

12159.	Pair the following statements with their correct solutions:
Answer» Pair the following statements with their correct solutions:

Discussion

12160.	If the ratio of areas of two circles is 25:36, the ratio of their circumference is
Answer» If the ratio of areas of two circles is $25 : 36$ , the ratio of their circumference is

Discussion

12161.	A bag contains 4 green balls, 4 red balls and 2 blue balls. If a ball is drawn from the bag, theprobability of getting neither green nor red ball is(a) 25 (b) 12 (c) 45 (d) 15
Answer» A bag contains 4 green balls, 4 red balls and 2 blue balls. If a ball is drawn from the bag, the probability of getting neither green nor red ball is (a) $\frac{2}{5}$ (b) $\frac{1}{2}$ (c) $\frac{4}{5}$ (d) $\frac{1}{5}$

Discussion

12162.	draw a pair of †an gents to a circle of radius 4cm which inclined to each other at an angle of 30 deg
Answer» draw a pair of †an gents to a circle of radius 4cm which inclined to each other at an angle of 30 deg

Discussion

12163.	Find the equation of the line which passes through the point (− 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point. [NCERT EXAMPLE]
Answer» Find the equation of the line which passes through the point (− 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point. [NCERT EXAMPLE]

Discussion

12164.	The following table gives the daily income of 50 workers of a factory :Daily income (in ₹) 100-120 120-140 140-160 160-180 180-200Number of workers : 12 14 8 6 10Find the mean, mode and median of the above data .
Answer» The following table gives the daily income of 50 workers of a factory : Daily income (in ₹) 100-120 120-140 140-160 160-180 180-200 Number of workers : 12 14 8 6 10 Find the mean, mode and median of the above data .

Discussion

12165.	In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2).
Answer» In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC² = 4(AD² − AC²).

Discussion

12166.	The cost of 2 red balls and 5 blue balls is ₹160. The correct expression for this is ______ such that 'r' represents cost of one red ball and 'b' represents cost of one blue ball.
Answer» The cost of 2 red balls and 5 blue balls is ₹160. The correct expression for this is ______ such that 'r' represents cost of one red ball and 'b' represents cost of one blue ball.

Discussion

12167.	Find the sum of the roots of the equation x2–8x+2=0.
Answer» Find the sum of the roots of the equation $x^{2} - 8 x + 2 = 0$ .

Discussion

12168.	Draw a line segment AB of length 5.5 cm. Bisect it using a compass and ruler.
Answer» Draw a line segment AB of length 5.5 cm. Bisect it using a compass and ruler.

Discussion

12169.	Question 2 (c) State whether the following statement is true or false: The product of three odd numbers is odd.
Answer» Question 2 (c) State whether the following statement is true or false: The product of three odd numbers is odd.

12169.

Question 2 (c) State whether the following statement is true or false: The product of three odd numbers is odd.

Answer»

Question 2 (c)

State whether the following statement is true or false:

The product of three odd numbers is odd.

Discussion

12170.	Find the value of x,if a+7=0; b+10=0 and 12x2=ax−b.
Answer» Find the value of x,if a+7=0; b+10=0 and $12 x^{2} = a x - b .$

Discussion

12171.	In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠ TPQ = 70o, find ∠ TRQ.
Answer» In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If $∠$ TPQ = $70^{o}$ , find $∠$ TRQ.

12171.

In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠ TPQ = 70o, find ∠ TRQ.

Answer»

In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If $∠$ TPQ = $70^{o}$ , find $∠$ TRQ.

Discussion

12172.	Find the slope of the line, which makes an angle of 30∘ with the positive direction of y−axis measured anticlockwise.
Answer» Find the slope of the line, which makes an angle of $30^{\circ}$ with the positive direction of $y -$ axis measured anticlockwise.

Discussion

12173.	A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm . AP and AQ are the tangents to the circle at P and Q . If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C , find the perimeter of the ∆ ABC .
Answer» A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm . AP and AQ are the tangents to the circle at P and Q . If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C , find the perimeter of the $∆$ ABC .

Discussion

12174.	Solve 30x−y+44x+y=10 40x−y+55x+y=13
Answer» Solve $\frac{30}{x - y} + \frac{44}{x + y} = 10$ $\frac{40}{x - y} + \frac{55}{x + y} = 13$

12174.

Solve 30x−y+44x+y=10 40x−y+55x+y=13

Answer»

Solve

$\frac{30}{x - y} + \frac{44}{x + y} = 10$

$\frac{40}{x - y} + \frac{55}{x + y} = 13$

Discussion

12175.	What will be the roots of equation: (x^4) - 2(x^3) + x = 380
Answer» What will be the roots of equation: (x^4) - 2(x^3) + x = 380

Discussion

12176.	What is y-axis
Answer» What is y-axis

Discussion

12177.	If p and q are the zeroes of polynomial (x^2)-ax+b, then value of (p^2)[((p^2)/q)-q]+(q^2)[((q^2)/p)-p] is.
Answer» If p and q are the zeroes of polynomial (x^2)-ax+b, then value of (p^2)[((p^2)/q)-q]+(q^2)[((q^2)/p)-p] is.

Discussion

12178.	In ΔABC, AB = BC = 6 cm. If a circle is drawn with center at B and radius 2 cm which intersects AB and BC at E and D, then show that ΔABC∼ΔEBD.
Answer» In $Δ A B C$ , AB = BC = 6 cm. If a circle is drawn with center at B and radius 2 cm which intersects AB and BC at E and D, then show that $Δ A B C \sim Δ E B D$ .

Discussion

12179.	A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to(i) 6?(ii) an even number(iii) a prime number?(iv) a number which is a multiple of 5?(v) a number which is a factor of 8?
Answer» A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to (i) 6? (ii) an even number (iii) a prime number? (iv) a number which is a multiple of 5? (v) a number which is a factor of 8?

Discussion

12180.	Question 3Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.
Answer» Question 3 Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

Discussion

12181.	In the following figure, two circles with centres A and B touch each other at the point C. If AC = 8 cm and AB = 3 cm, find the area of the shaded region.
Answer» In the following figure, two circles with centres A and B touch each other at the point C. If AC = 8 cm and AB = 3 cm, find the area of the shaded region.

Discussion

12182.	Question 2Plot the following points and write the name of the figure obtained by joining, them in order.P(-3, 2), Q(-7, -3), R(6, -3) and S(2, 2).
Answer» Question 2 Plot the following points and write the name of the figure obtained by joining, them in order. P(-3, 2), Q(-7, -3), R(6, -3) and S(2, 2).

Discussion

12183.	Two vertical poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
Answer» Two vertical poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Discussion

12184.	Using factor theorem, show that g(x) is a factor of p(x), whenp(x) = 69 + 11x – x2 + x3, g(x) = x + 3
Answer» Using factor theorem, show that g(x) is a factor of p(x), when p(x) = 69 + 11x – x² + x³, g(x) = x + 3

Discussion

12185.

A, B and C are in partnership sharing profits and losses in the proportions of 1/2, 1/3 and 1/6 respectively. On 31st March, 2019, they decided to dissolve the partnership and the position of the firm on this date is represented by the following Balance Sheet: Liabilities Amount (₹) Assets Amount (₹) Creditors 40,000 Cash at Bank 3,000 Loan A/c: Stock 50,000 A 10,000 Sundry Debtors 50,000 Workmen Compensation Reserve 21,000 Land and Building 57,000 Capital A/cs: Profit and Loss A/c 15,000 A 60,000 Advertisement Suspense A/c 6,000 B 40,000 C 10,000 1,10,000 1,81,000 1,81,000 During the course of realisation, a liability under a suit for damages is settled at ₹ 20,000 as against ₹ 5,000 only provided for in the books of the firm.Land and Building were sold for ₹ 40,000 and the Stock and Sundry Debtors realised ₹ 30,000 and ₹ 42,000 respectively. The expenses of realisation amounted to ₹ 1,200.There was a car in the firm, which was completely written off from the books. It was taken by A for ₹ 20,000. He also agreed to pay Outstanding Salary of ₹ 20,000 not provided in books.Prepare Realisation Account, Partners' Capital Accounts and Bank Account in the books of the firm.

Answer» A, B and C are in partnership sharing profits and losses in the proportions of 1/2, 1/3 and 1/6 respectively. On 31st March, 2019, they decided to dissolve the partnership and the position of the firm on this date is represented by the following Balance Sheet:


Liabilities		Amount (₹)	Assets	Amount (₹)
Creditors		40,000	Cash at Bank	3,000
Loan A/c:			Stock	50,000
A		10,000	Sundry Debtors	50,000
Workmen Compensation Reserve		21,000	Land and Building	57,000
Capital A/cs:			Profit and Loss A/c	15,000
A	60,000		Advertisement Suspense A/c	6,000
B	40,000
C	10,000	1,10,000
		1,81,000		1,81,000

During the course of realisation, a liability under a suit for damages is settled at ₹ 20,000 as against ₹ 5,000 only provided for in the books of the firm.

Land and Building were sold for ₹ 40,000 and the Stock and Sundry Debtors realised ₹ 30,000 and ₹ 42,000 respectively. The expenses of realisation amounted to ₹ 1,200.

There was a car in the firm, which was completely written off from the books. It was taken by A for ₹ 20,000. He also agreed to pay Outstanding Salary of ₹ 20,000 not provided in books.

Prepare Realisation Account, Partners' Capital Accounts and Bank Account in the books of the firm.

Discussion

12186.	ABC is an isosceles triangle with AB=AC. The images of the vertices A,B,C by the lines BC,CA,AB are respectively A',B',C'. If A'B'C' is equilateral find angle A.
Answer» ABC is an isosceles triangle with AB=AC. The images of the vertices A,B,C by the lines BC,CA,AB are respectively A',B',C'. If A'B'C' is equilateral find angle A.

Discussion

12187.	Find the largest number which divides 438 and 606, leaving remainder 6 in each case.
Answer» Find the largest number which divides 438 and 606, leaving remainder 6 in each case.

Discussion

12188.	A two-digit number is such that the product of its digits is 35.If 18 is added to the number,the digits interchange their places.Find the number.
Answer» A two-digit number is such that the product of its digits is 35.If 18 is added to the number,the digits interchange their places.Find the number.

Discussion

12189.	If the latusrectum of an ellipse with axis along x-axis and centre at origin is 10, distance between foci = length of minor axis, then equation of the ellipse is ___________.
Answer» If the latusrectum of an ellipse with axis along x-axis and centre at origin is 10, distance between foci = length of minor axis, then equation of the ellipse is ___________.

Discussion

12190.	In Δ ABC, if D and E are midpoints of AB and BC respectively, then D and E divide AB and BC in the ratio of ___, ___ respectively.
Answer» In $Δ$ ABC, if D and E are midpoints of AB and BC respectively, then D and E divide AB and BC in the ratio of ___, ___ respectively.

Discussion

12191.	∫ e^x-1/e^x+1 d
Answer» ∫ e^x-1/e^x+1 d

Discussion

12192.	The polynomial equation P(x)= 3x2+10x+7 can be represented as
Answer» The polynomial equation P(x)= $3 x^{2} + 10 x + 7$ can be represented as

Discussion

12193.	Question 1 (iv) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (iv) 2x2+x+4=0
Answer» Question 1 (iv) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (iv) $2 x^{2} + x + 4 = 0$

Discussion

12194.	Find area of quadrilateral ABCD
Answer» Find area of quadrilateral ABCD

Discussion

12195.	In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.
Answer» In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.

12195.

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are _ and _ respectively.

Answer»

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.

Discussion

12196.	Prove that no matter what the real numbers a and b are, the sequence with nth term a+nb is always an A.P. What is the common difference?
Answer» Prove that no matter what the real numbers a and b are, the sequence with nth term a+nb is always an A.P. What is the common difference?

Discussion

12197.	If x^2+y^2=25xy then prove that 2log(x+y)=3log3+log x+log y
Answer» If x^2+y^2=25xy then prove that 2log(x+y)=3log3+log x+log y

Discussion

12198.	The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x).
Answer» The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x).

Discussion

12199.	D is the mid point of side BC of traingleABC and E is the mid point of AD.BE produced meets AC at pointF . prove BE:BF is 3:4?
Answer» D is the mid point of side BC of traingleABC and E is the mid point of AD.BE produced meets AC at pointF . prove BE:BF is 3:4?

Discussion

12200.	If the sum of the zeros of a polynomial x2−(k+3)x+(5k−3) is equal to one fourth of the product of zeros find the value of k.
Answer» If the sum of the zeros of a polynomial $x^{2} - (k + 3) x + (5 k - 3)$ is equal to one fourth of the product of zeros find the value of $k$ .

Discussion

Explore topic-wise InterviewSolutions in .

Find the mean of the given data:Class intervalFrequency(fi)Class mark(xi)di=xi−aui=dih0−1004050−200−2100−20039150−100−1200−3003425000300−400303501001400−500454502002

Find the total surface area of a conical tomb when the slant height is 8 m and diameter is 12 m.

Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?

Find the mode of the given data. Class Frequency 0−52005−1025010−1522515−2030020−2527518.75

The perimeter of a rectangle is 40 m . The length of the rectangle is 4m less than 5 times it's breadth . Find the length of the rectangle .

The corresponding sides of two similar triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle.

For very small angle of incidence of a ray of light striking a glass slab is shown in the figure belowWhich of the following expression will give the approximate result for lateral displacement? Use for small θ, sin θ≈θ and cos θ≈1

Pair the following statements with their correct solutions:

If the ratio of areas of two circles is 25:36, the ratio of their circumference is

A bag contains 4 green balls, 4 red balls and 2 blue balls. If a ball is drawn from the bag, theprobability of getting neither green nor red ball is(a) 25 (b) 12 (c) 45 (d) 15

draw a pair of †an gents to a circle of radius 4cm which inclined to each other at an angle of 30 deg

Find the equation of the line which passes through the point (− 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point. [NCERT EXAMPLE]

The following table gives the daily income of 50 workers of a factory :Daily income (in ₹) 100-120 120-140 140-160 160-180 180-200Number of workers : 12 14 8 6 10Find the mean, mode and median of the above data .

In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2).

The cost of 2 red balls and 5 blue balls is ₹160. The correct expression for this is ______ such that 'r' represents cost of one red ball and 'b' represents cost of one blue ball.

Find the sum of the roots of the equation x2–8x+2=0.

Draw a line segment AB of length 5.5 cm. Bisect it using a compass and ruler.

Question 2 (c) State whether the following statement is true or false: The product of three odd numbers is odd.

Find the value of x,if a+7=0; b+10=0 and 12x2=ax−b.

In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠ TPQ = 70o, find ∠ TRQ.

Find the slope of the line, which makes an angle of 30∘ with the positive direction of y−axis measured anticlockwise.

A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm . AP and AQ are the tangents to the circle at P and Q . If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C , find the perimeter of the ∆ ABC .

Solve 30x−y+44x+y=10 40x−y+55x+y=13

What will be the roots of equation: (x^4) - 2(x^3) + x = 380

What is y-axis ​​

If p and q are the zeroes of polynomial (x^2)-ax+b, then value of (p^2)[((p^2)/q)-q]+(q^2)[((q^2)/p)-p] is.

In ΔABC, AB = BC = 6 cm. If a circle is drawn with center at B and radius 2 cm which intersects AB and BC at E and D, then show that ΔABC∼ΔEBD.

Question 3Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

In the following figure, two circles with centres A and B touch each other at the point C. If AC = 8 cm and AB = 3 cm, find the area of the shaded region.

Question 2Plot the following points and write the name of the figure obtained by joining, them in order.P(-3, 2), Q(-7, -3), R(6, -3) and S(2, 2).

Two vertical poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Using factor theorem, show that g(x) is a factor of p(x), whenp(x) = 69 + 11x – x2 + x3, g(x) = x + 3

ABC is an isosceles triangle with AB=AC. The images of the vertices A,B,C by the lines BC,CA,AB are respectively A',B',C'. If A'B'C' is equilateral find angle A.

Find the largest number which divides 438 and 606, leaving remainder 6 in each case.

A two-digit number is such that the product of its digits is 35.If 18 is added to the number,the digits interchange their places.Find the number.

If the latusrectum of an ellipse with axis along x-axis and centre at origin is 10, distance between foci = length of minor axis, then equation of the ellipse is ___________.

In Δ ABC, if D and E are midpoints of AB and BC respectively, then D and E divide AB and BC in the ratio of ___, ___ respectively.

∫ e^x-1/e^x+1 d

The polynomial equation P(x)= 3x2+10x+7 can be represented as

Question 1 (iv) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (iv) 2x2+x+4=0

Find area of quadrilateral ABCD

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.

Prove that no matter what the real numbers a and b are, the sequence with nth term a+nb is always an A.P. What is the common difference?

If x^2+y^2=25xy then prove that 2log(x+y)=3log3+log x+log y

The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x).

D is the mid point of side BC of traingleABC and E is the mid point of AD.BE produced meets AC at pointF . prove BE:BF is 3:4?

If the sum of the zeros of a polynomial x2−(k+3)x+(5k−3) is equal to one fourth of the product of zeros find the value of k.

What is y-axis

In Δ ABC, if D and E are midpoints of AB and BC respectively, then D and E divide AB and BC in the ratio of _, _ respectively.

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are _ and _ respectively.