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  • Question 1
    4 / -1

    If \(A\) and \(B\) are two given sets, then \(A \cap(A \cap B)\) eis equal to

  • Question 2
    4 / -1

    If the function \(f(x)=2 x^{3}-9 a x^{2}+12 a^{2} x+1,\) where \(a>0,\) attains its maximum and minimum at \(p\) and \(q\) respectively such that \(p^{2}=q\), then a equals

  • Question 3
    4 / -1

    If one root of the equation ax2 + bx + c = 0 be n times the other root, then

  • Question 4
    4 / -1

    The number of values of x where the function f(x) = 2 (cos 3x + cos√3xattains its maximum, is

  • Question 5
    4 / -1

    If the tangent to the curve \(\sqrt{x}+\sqrt{y}=\sqrt{a}\) at any point on it cuts the axes OX and OY at P and Q respectivelv. then \(\mathrm{OP}+\mathrm{OQ}\) is

  • Question 6
    4 / -1

    In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is

  • Question 7
    4 / -1

    \(3 \cos ^{-1} x-\pi x-\frac{\pi}{2}=0\) has :

  • Question 8
    4 / -1

    If the sum of two of the roots of x3 + px2 + qx + r = 0is zero, then pq =

  • Question 9
    4 / -1

    If \(3 \sin ^{-1} \frac{2 x}{1+x^{2}}-4 \cos ^{-1} \frac{1-x^{2}}{1+x^{2}}+2 \tan ^{-1} \frac{2 x}{1+x^{2}}=\frac{\pi}{3}\) then \(x=\)

  • Question 10
    4 / -1

    Let \(f(x)=\left\{\begin{array}{l}1+\sin x, x<0 \\ x^{2}-x+1, x \geq 0\end{array}\right.\). Then

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