BITSAT Maths Test - 2 - JEE MCQ

Equation of the diameter of the circle x² + y² - 6x + 2y = 0 which passes thro' the origin is

If then a and b are

The order and degree of differential equation √(dy/dx) - 4 (dy/ dx) - 7x = 0 are

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

If x=a[(cost)+(log tan(t/2))], y=a sint, (dy/dx)=

Solution of the differential equation 

then  = f '(1)

1/2! - 1/3! + 1/4! - 1/5! + ....... equals

The length of the shadow of a rod inclined at 10^o to the vertical towards the sun is 2.05 metres when the elevation of the sun is 38^o.The length of the rod is

The product of the perpendicular, drawn from any point on a hyperbola to its asymptotes is

The area of the region bounded by the curve y = x - x² between x = 0 and x = 1 is

The area bounded by the curve x = at², y = 2at and the X-axis is 1 ≤ t ≤ 3 is

The sum of first 50 terms of the series cot^⁻13 + cot^⁻1 7 + cot^⁻1 13 + cot^⁻1 21 + ... is

The domain of the function f(x) = √(2 - 2x - x²) is

The difference of an integer and its cube is divisible by

If A and B are two matrices such that AB = B and BA = A, then A² + B² is equal to

if A is a 3 x 3 matrix and B is its adjoint matrix. If ∣B∣ = 64, then ∣A∣ =

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

Which of the following is correct

Equation 2x²+7xy+3y²+8x+14y+λ=0 represents a pair of straight lines, value of λ is

The pole of the line lx+my+n=0 w.r.t. the parabloa y² =4ax

The latus rectum of the parabola y² = 5x + 4y + 1 is

How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?

A polygon has 44 diagonals. The number of its sides is

A single letter is selected at random from the word "PROBABILITY". The probability that it is a vowel is

A committee consists of 9 experts from three institutions A, B and C, of which 2 are from A, 3 from B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

If the area of a Δ A B C be λ then a² sin 2B + b² sin 2A is equal to