WBJEE Previous Year - 2011 - JEE MCQ

The coordinates of a moving point p are (2t² + 4, 4t + 6). Then  its locus will be a

The equation  8x² + 12y² – 4x + 4y – 1 = 0  represents

If the straight line  y = mx lies outside of the circle x² + y² – 20y + 90 = 0, then the value of  m will satisfy

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is

The  coordinates of the two points lying on  x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are

The intercept on the line y = x by the circle x² + y² – 2x = 0 is  AB.  Equation of the circle with AB as diameter is

If the coordinates of one end of a diameter of the circle  x2+y2+4x–8y+5=0, is (2,1), the coordinates of the other end is

If the three points A(1,6), B(3, –4) and C(x, y) are collinear then the equation satisfying by  x and y is

and θ lies in the second quadrant, then cosθ is equal to

The solutions set of  inequation  cos^–1x < sin^–1x is

The number of solutions of  2sinx + cos x = 3 is

If  θ+ φ = π/4 then (1 + tanθ)(1 + tanφ)  is equal to

If sinθ and cosθ are the roots of the equation  ax² – bx + c = 0, then a, b and c satisfy the relation

If  A and B are two matrices such that A+B and AB are both defined, then

  is a symmetric matrix, then the value of  x is

The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ  and x sin θ – (1 + cos θ) y + a sin θ = 0 is

If sinθ + cosθ = 0 and 0 < θ < π, then θ

The value of cos 15^o – sin 15^o is

he period of the function f(x) = cos 4x + tan 3x is

If y = 2x³ – 2x² + 3x – 5, then for x = 2 and Δ x = 0.1 value of  Δ y is

The approximate value of 5√33 correct to 4 decimal places is

The value of  ²∫_-2  xcos + xsinx + 1

For the function f(x) = e^{cos x} , Rolle’s theorem is

The general solution of the differential equation