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  • Question 1
    1 / -0

    The angle between the straight lines x−2 / 2 = y−1 / 5 = z+3 /−3 and x+1−1 = y−4 / 8 = z−5 / 4 is

  • Question 2
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    If \(f(x)=\left\{\begin{array}{l}-4 \sin x+\cos x ; x<-\frac{\pi}{2} \\ a \sin x+b ;-\frac{\pi}{2} \leq x<\frac{\pi}{2} \text { is continuous, then } a \text { and } b \text { are } \\ \cos x+2 ; x \geq \frac{\pi}{2}\end{array}\right.\)

  • Question 3
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    Two vertices of a triangle are (5, 4) and (−2, 4) . If its centroid is (5, 6) then the third vertex has the coordinates -

  • Question 4
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    If f(x)=a−(x−3)8/9,, then maximum value of f(x)f(x) is:

  • Question 5
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    The value of \(\int_{-3}^{3}\left(a x^{5}+b x^{3}+c x+k\right) d x,\) where \(a, b, c, k\) are constant, depends only on

  • Question 6
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    If x2+y2=t−1/t and x4+y4=t2+1/t2, then dydx is equal to

  • Question 7
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    The relation RR in RR defined as R={(a,b):a≤b}, is

  • Question 8
    1 / -0

    \(\int_{0}^{1} \sqrt{\frac{1-x}{1+x}} \mathrm{d} x=\)

  • Question 9
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    If x=a(cosθ+θ sinθ) and y=a(sinθ−θcosθ), then dy / dx is equal to

  • Question 10
    1 / -0

    The differential equation of all straight lines passing through the origin is

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