## Forum Comments

If the point R(-1,2) divides externally the line segment joining P(2, 5) and Q in the ratio 3 : 4, what will be the
coordinates of Q?

In Doubt Community

If m and n are positive integers such that (m-n)^2 = 4mn/(m+n+1), then how many pairs (m,n) are possible?

In Doubt Community

A person lent a certain sum of money at 4% simple interest, and in 8 years the interest amounted to Rs.340 less than the sum lent.

In Doubt Community

Find the maximum value of x^2y^3 if x + y = 25. Given that x and y both are positive numbers.

In Doubt Community

Find the complete range of values of x for which, (x^2 – x + 1)^x < 1.

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If x + y + z = 13, what is the maximum value of (x – 2) (y + 1) (z – 3)? Given that x, y, z > 0.

In Doubt Community

If A, B are symmetric matrices of the same order, then
AB – BA is a?
a. skew-symmetric matrix
b. zero matrix
c. symmetric matrix

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If sin x cos y = 1/4 and 3 tan x = 4 tan y, then find
the value of sin (x + y).

In Doubt Community

If 3sinq + 5cosq = 5, then the value of 5sinq – 3cosq
is equal to:

In Doubt Community

If f(x) = (a - x^n)^1/n, where a > 0 and n ϵ N, then fof(x) is equal to:

In Doubt Community

In the figure below, AB = AC = CD. If angle ADB = 20°, what is the value of angle BAD?

In Doubt Community

The difference between the area of the circumscribed circle and the area of the inscribed circle of an equilateral triangle is 2156 sq. cm.

In Doubt Community

If (1 –p) is a root of the quadratic equation 𝑥^2 + 𝑝𝑥 + (1 − 𝑝) = 0, then its roots are:

In Doubt Community

The number of different six-digit numbers, the sum of whose digits is odd is:

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Let A be a set with 3 elements and B be a set with 4 elements. The total number of one-one functions
from A to B is:

In Doubt Community

Find the sum to n terms of the series
1 + (1+2) + (1+2+3) + (1+2+3+4) + …

In Doubt Community

If α and β are the roots of a quadratic equation
such that 5α + 6β = 28 and 6α + 5β = 27, find the
equation.

In Doubt Community

The difference between the C.I. and S.I. on a certain
sum is Rs.1.25 at a 5% rate of interest for 2 years.
Find the sum.

In Doubt Community

B

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