SRMJEEE Maths Mock Test - 1 - JEE MCQ

Complex numbers z₁,z₂ and z₃ in A.P.

The pair of lines represented by 3ax² + 5xy + (a² - 2)y² = 0 are ⊥ to each other for

From the origin chords are drawn to the circle x² + y² - 2y = 0. The locus of the middle points of these chords is

The value of f(0) so that f x = sinx / x is continuous at x = 0 is

The tangent drawn from (α,β) to an ellipse (x²/a²)+(y²/b²)=1 touches the circle x²+y²=c² then the locus of (α,β) is

The general solution of the differential equation (x+a)p²+(x-y)p-y=0 is :

f(x)=x³-27x+5 is increasing when

If 2tan⁻¹(cosx)= tan⁻¹(cosec²x), then x is equal to

The inverse of 

The minimum value of a tan² x + b cot²x equals the maximum value of a sin² θ + b cos² θ where a > b > 0, when

The middle value of an ordered series is called:

The best measure of dispersion is:

If grad of one line of equation x²+kxy+2y²=0 is double of other, h =

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is

In a triangle 

If the roots of the equation a/x - a + b/x - b = 1 are equal in magnitude and opposite in sign, then

The fourth, seventh and tenth terms of a G.P. are p, q and r respectively, then

Suppose that g (x) = 1 + √x and f (g(x)) = 3 + 2 √x + x, then f (x) is

The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 are

The equation of the tangent at the point P(t), where t is any parameter, to the parabola y²=4ax is