SRMJEEE Maths Mock Test - 7 - JEE MCQ

The term independent of x in the expansion of [x²-(1/3x)]⁹ is

The centroid of a triangle formed by the points (0, 0), (cosθ, sinθ) and (sinθ - cosθ) lies on th line y = 2x. Then, θ is

The pole of the line 9x+y-28=0 with respect to the circle 2x²+2y²-3x+5y-7=0 is

At which point of the parabola y²=4x is a normal drawn so that it makes equal angles with the axes?

If z = -2/(1 + √3i),then the value of arg (z) is

A singular solution of the differential equation y²[1+(dy/dx)²]=R² is :

(d/dx)(log tanx)=

cos(sin⁻¹3/5)+sin⁻¹(5/13))=

The inverse of a matrix

The maximum value of x³-3x in the interval [0,2] is

Mean of a set of values is based on:

One series containing 3 numbers has mean 8, variance 24 and the second series containing 5 numbers has mean 8, variance 18. Then the variance of the combined data is

If angle between the lines 2x²+5xy+3y²+6x+7y+4=0 is tan⁻¹m, the value of m is

In how many different ways can the letters of the word RUMOUR be arranged?

What is the chance of getting multiple of 2 on one and multiple of 3 on the other in a single throw of two dice?

In a Δ ABC , A : B : C = 3 : 5 : 4 . Then a + b + c√2 is equal to

The value of λ for which one root of 3x² - (1 + 4λ)x + λ² + 2 = 0 may be one-third of the other is

In Rule Method the null set is represented by

If p, q, r are in A.P. and x, y, z are in G.P., then x^q-r y^r-p z^p-q is equal to

The derivative of sin² x with respect to (log x)² is

The equation of bisectors between the lines 3x+4y-7=0 and 12x+5y+17=0 are

The equation of the tangent to the curve y=2 sin x+sin 2x at x=π/3 is equal to