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  • Question 1
    4 / -1

    If θ denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection, then |tan θ| is equal to :

  • Question 2
    4 / -1

    The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x2 such that the rectangle lies inside the parabola, is :-

  • Question 3
    4 / -1

    The maximum volume (in cu. m) of the right circular cone having slant height 3m is :

  • Question 4
    4 / -1

    A circle with centre at (15, –3) is tangent to y = x2/3 at a point in the first quadrant. The radius of the circle is equal to

  • Question 5
    4 / -1

    When 0 ≤ x ≤ 1, f(x) = |x| + |x – 1| is-

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