SRMJEEE Maths Mock Test - 6 - JEE MCQ

the area bounded by the curves

x + 2 ∣y∣ = 1 and x = 0 is

If the line 2x - y + k = 0 is a diameter of the circle x² + y² + 6x -6y + 5 =0, then k is equal to

If α is a complex cube root of unity, for n ∈ N, α⁽³ⁿ⁺¹⁾ + α⁽³ⁿ⁺³⁾ + α⁽³ⁿ⁺⁵⁾ =

If the focii of an ellipse (x²/16)+(y²/b²)=1 and hyperbola (x²/144)-(y²/81)=(1/25) are coincident, b²=

y = Ae^x + Be^2x + Ce^3x satisfies the diferential equation

At x=3, (d/dx)[|x-1|+|x-5|]=

If f : ℝ → ℝ is defined by

then f is continuous on the set

The inverse of

If A is a singular matrix, then A adj (A)

If for all positive x, where a, b > 0, then

The following data gives the time period, for which a group of people could hold their breath

The mean of above is

Inter Quartile Range is _____ of Quartile Deviation.

The angle between pair of lines 2x²+5xy+2y²+3x+3y+1=0 is

Five digit number divisible by 3 is formed using the digits 0, 1 , 2, 3, 4 and 5 without repetition. Total number of such numbers is

Three identical dice are rolled. The probability that the same number will appear on each of them, is

If the ratio in angles of any ∆ABC 2:3:7 then the ratio is in its sides are

The number of real solutions of the equation

∣x∣² - 4 ∣x∣ + 3 = 0 is

For all positive values of x and y, the value of (1 + x + x²)(1 + y + y²)/(xy) is

Which of the following is the empty set?

If A(1,3) and C(5,1) are coordinates of opposite vertices of rectangle. The gradient of a line passing through remaining vertices is 2. The equation of line is

The equation of the normal of the curve y=x(2-x) at the point (2,0) is