SRMJEEE Maths Mock Test - 10 - JEE MCQ

If | x | < 1, then the coefficient of xⁿ in the expansion (1 + x + x² + x³ + ....)² is

Equation x²+y²+4x+6y+13=0 represents

If z₁ and z₂ are two non-zero complex numberssuch that |z₁ + z₂| =|z₁| + |z₂|,then arg z₁ -arg z₂ is equal to

If (2,0) is the vertex and y-axis is the directrix of the parabola, then its focus is

If and if f is continuous at x = 1 then f(1) =

The solution of differential equation xy(dy/dx)=[((1+y²)(1+x+x²))/(1+x²)] is

For real values of x the minimum value of [(1-x+x²)/(1+x+x²)] is

∫[(x)/((x²-a²)(x²-b²))]dx=

If sin⁻¹ x + cot⁻¹1/2 = π/2, then x is equal to

If minimum value of f(x) = x² + 2bx + 2c² is greater than maximum value of g(x) = - x² - 2cx + b² then for x is real

The inverse of matrix 

If two variables x and y are related by 2x + 3y - 7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is:

Obtain

The standard deviation of six numbers 3, 3, 3, 5, 5, 5 is

Equation x²-3xy+λy²+3x-5y+2=0, where λ is real represents a pair of lines. If θ is the angle between them, then cosec²θ =

Number of divisors of n = 38808 (except 1 and n) is

A and B are two independent events. P( A and B) = 1/6 and the probability that neither of them occur is 1/3 . Find the probability occurrence of A?

If in a ΔABC , r₃ = r₁ + r₂ + r , then ∠ A + ∠ B =

Both the roots of the equation (x-a)(x-b) + (x-b)(x-c) + (x-c)(x-a)=0 are always

If f (x) = (x)/(x - 1) = 1/y, then f (y) =

If a,b,c are in A.P. as well as in G.P. then

The equation of a line passing through (1,2) and perpendicular to 3x+4y+5=0 is

The tangent at (1,7)to the curve x²-y-6 touches the circle x²+y²+16x+12y+c=0 at :