Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________

In the given figure DE||BC:BD = x - 3, BA = 2x,CE = x- 2, and AC = 2x + 3, Find the value of x.

A Quadratic polynomial whose one zero is 5 and sum of the zeroes is 0 is given by ___________

If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________

The sum of first n terms of the series a, 3a, 5a...is ____________

If f is identify function, then the value of f(1) - 2f(2) + f(3) is: 

If f : R⟶R is defined by (x) = x² + 2, then the preimage 27 are _________

If A is an assets angle of Δ ABC, right angle at 3, then the value of sin A T cos A is ___________

The value of the expression [cosec (75^o + θ) - sec (15^o - θ) - tan (55^o + θ) + cot(35^o - θ] is ___________

If (sin α + cosec α)² + (cos α + sec α)² = k + tan²α + cot²α, then the value of k is equal to

A purse contains 10 notes of Rs. 2000, 15 notes of Rs. 500, and 25 notes of Rs. 200. One note is drawn at random. What is the probability that the note is either a Rs. 500 note or Rs. 200 note?

Which of the following is not a measure of dispersion?

The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to

The value of (1³ + 2³ + 3³ +...+15³) - (1 + 2 + 3 +...+ 15)is 

Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

(2, 1) is the point of intersection of two lines.

The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

f(x) = (x + 1)³ - (x - 1)³ represents a function which is

If n(A x B) = 6 and A = {1,3} then n(B) is

If number of columns and rows are not equal in a matrix then it is said to be a

If A is a 2 x 3 matrix and B is a 3 x 4 matrix, how many columns does AB have