SRMJEEE Maths Mock Test - 9 - JEE MCQ

If P₁,P₂,P₃ are the perimeters of the three circles x² + y² + 8x - 6y = 0, 4x² + 4y² - 4x - 12y - 186 = 0 and x² + y² - 6x + 6y - 9 = 0 respectively, then

If α + iβ = tan^-1 (z), z = x + iy and α is constant, the locus of 'z' is

If the tangent to the parabola y²=4ax makes an angle of 45° with x-axis, point of contant is

The point moves such that the area of the triangle formed by it with the points (1, 5) and (3, -7) is 21 sq.units. The locus of the point is

The coefficient of x in the expansion of [x²+(c/x)]⁵ is equal to

Let f(x) be a function satisfying f ′(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x², then value of integral

The solution of the equation cosx cosy (dy/dx)=-sinx siny is

If a, b, c are different and 

sec²(tan⁻¹ 2) + cosec²(cot⁻¹ 3) =

The value of 

If xy = a² and S = b²x + c²y where a,b and c are constants then the minimum value of S is

then A² is given by

The standard deviation of a set of 50 items is 8, what is the standard deviation, if each item is multiplied by 2?

The standard deviation of the set of first n natural numbers is

The angle between lines joining origin and intersection points of line 2x+y=1 and curve 3x²+4xy-4x+1=0 is

How many words can be formed by taking letters 4 at a time out of letters of the word MATHEMATICS?

A card is drawn at random from a pack of cards. The probability of this being red or queen is

If a, b are the roots of x² + x + 1 = 0 then a² + b² =

In Δ ABC , If a² + b² + c² = 8 R² , then the triangle is

H.M. between two numbers is 4. The A.M. 'A' and the G.M. 'G' between them satisfy the relation 2 A + G² = 27. The numbers are

Given the sets A = {1,2,3}, B = {3,4}, C={4,5,6}, then A ∪ (B ∩ C) is

If is equal to

The area of triangles formed by lines x=0, y=0 and (x/a) + (y/b) = 1 is

The normal to the curve x=a(cosθ+θ+sinθ), y=a(sinθ-θ cosθ) at any point 'θ' is such that :