SRMJEEE Maths Mock Test - 4 - JEE MCQ

Let [ ] denote the greatest integer function and f(x) = [tan²x]. Then

The equation x² + y² + x + y + 1 = 0 represents a circle whose centre is at

The volume of a solid which is obtained by revolving area bounded by an ellipse x²+9y²=9 and straight line x+3y=3 about y-axis is

The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex is

If ω is non-real cube root of unity then

[(1 + 2ω + 3ω²) /(2 + 3ω + ω²)] + [(2 + 3ω + 3ω²)/(3 + 3ω + 2ω²)] is equal to

The eccentricity of parabola is

The roots of the equation

If x dy = y(dx + y dy), y > 0 and y (1) = 1, then y (-3) is equal to

sec²(tan⁻¹ 2) + cosec²(cot⁻¹ 3) =

What is the value of 

If A and B are non-singular matrix, then

The inverse of 

The strength of a beam varies as the product of its breadth b and square of its depth d. A beam cut out of a circular log of radius r would be strong when

The mode of the following observation is 10,8,-9,-12,15,0,23,-3,-2,-13,-24,28,35,42

The S.D. of a distribution is 5. The value of the fourth central moment μ4 , in order that the distribution be mesokurtic should be

If ⁿP_r=840, ⁿC_r=35, then n=

A coin is tossed 10 times. The probability of getting exactly six heads, 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

In , then the triangle is

If the roots of the equation ax² + bx + c = 0 are l and 2l, then

1 + (3/2) + (5/2²) + (7/2³) + ... to ∞ is equal to

In Rule Method the null set is represented by

The derivative of with respect to

The equation of line joining points (-5,-6) and (3,10) is

P(2,2) and are two points on the parabola y² =2x. The coordinates of the point R on the parabola, where the tangent to the curve is parallel to the chord PQ, is