SRMJEEE Maths Mock Test - 8 - JEE MCQ

If the equation 3x² + xy - y² - 3x + 6y + K = 0 represents pair of lines, then the value of K is

The equation of a circle with centre (4, 1) and having 3x + 4y -1 = 0 as tangent is

If |(z-1)/(z-i)| = 1, then the locus of z is

The focus of the parabola y²-x-2y+2=0 is

If y=a cos (log x) + b sin (log x) where a,b are parametres, then x²y+xy'

The derivative of

∫[(1)/(x-x²)]dx=

4tan⁻¹(1/5)-tan⁻¹(1/239)=

What is the value of

If A is a non-singular, then adj A is

If f : ℝ → ℝ is defined by

then f is continuous on the set

Let f(x) = x³ + 3x² + 3x + 2. Then, at x = -1

Can a quartile, a decile and a percentile be the median?

The gap between the highest and the lowest score is called

The number of 4-digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repetition is

The base of triangle is passing through a fixed point (a,b) and its sides are bisected at right angles by lines, y² - 4xy - 5x² = 0, then the locus of the vertex of triangle is

If two dice are rolled then the probability that their sum is a prime number is

The diameter of the circumcircle of the triangle whose sides 61, 60, 11 is

If α , β are the roots of x² - 2x + 4 = 0 then α⁵ + β⁵ =

If the roots of the equation x³ - 12x² + 39x - 28 = 0 are in A.P., then their common difference will be

Which one of the following is (A - B) ∪ (B - A)?

Lines 2x+y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent

The tangent to the curve x=at², y=2at is perpendicular to x-axis, then its point of contact is