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  • Question 1
    4 / -1

    The value of 

    is equal to

  • Question 2
    4 / -1

    The distance between the line 

  • Question 3
    4 / -1

    If θ ∈ R and the equation sinx + cos (θ + x) + cos(θ – x) = 2 has a solution then which of the following is true 

  • Question 4
    4 / -1

    (where [.] denotes the greatest integer function) is

  • Question 5
    4 / -1

  • Question 6
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    Minimum length of tangent drawn from a point Q on 3x + 4y = 20 to the circle x2 + y2 = 1 is

  • Question 7
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    One side of square PQRS is on the line y = 2x – 17 and other 2 vertices are on parabola y = x2, then minimum area of square is:

  • Question 8
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    If the variable line y = kx + 2h is tangent to an ellipse 2x2 + 3y2 = 6, then locus of P(h, k) is a conic C whose eccentricity equals

  • Question 9
    4 / -1

    Let x and y be real numbers satisfying the equation 4y2 + 4xy + x + 6 = 0. The complete set of values for x, is

  • Question 10
    4 / -1

    The solution set of inequality (cot–1x) (tan–1x) +  cot–1x – 3tan–1x – 3  > 0 is

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