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  • Question 1
    4 / -1

    Number of possible tangents to the curve \(y=\cos (x+y),-3 \pi \leq x \leq 3 \pi\) that are
    parallel to the line \(x+2 y=0\), is

  • 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

    \(4 \tan ^{-1} \frac{1}{5}-\tan ^{-1} \frac{1}{239}\) is equal to

  • Question 4
    4 / -1

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

  • Question 5
    4 / -1

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

  • Question 6
    4 / -1

    The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by

  • Question 7
    4 / -1

    The value of log3 4log4 5log5 6log6 7log7 8log8 9 is

  • Question 8
    4 / -1

    \(\lim _{x \rightarrow \frac{\pi}{2}} \frac{\cot x-\cos x}{(\pi-2 x)^{3}}\) is equal to

  • Question 9
    4 / -1

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

  • Question 10
    4 / -1

    \(\sin 20^{\circ} \sin 40^{\circ} \sin 60^{\circ} \sin 80^{\circ}=\)

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