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Mathematics Tes...

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  • Question 1
    1 / -0

    The function \(f(x)=\log (x+\sqrt{x^{2}+1})\) is

  • Question 2
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    For what value of p are 2p+1, 13, 5P–3 are three consecutive terms of an A.P?

  • Question 3
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    What is \(\int_{0}^{2} \frac{d x}{x^{2}+4}\) equal to?

  • Question 4
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    A (3, 4) and B (5, –2) are two points and P is a point such that PA = PB. If the area of ∆ PAB is 10 sq units, then what are the coordinates of P?

  • Question 5
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    The degree and order respectively of the differential equation \(\frac{d y}{d x}=\frac{1}{x+y+1}\) are

  • Question 6
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    If \(\left|\begin{array}{ccc}x^{2}+2 x & 2 x+1 & 1 \\ 2 x+1 & x+2 & 1 \\ 3 & 3 & 1\end{array}\right|=(x-1)^{k},\) then \(\mathrm{k}\) equals to

  • Question 7
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    The middle point of the segment of the straight line joining the points (p,q) and (q,–p) isr2,s2 What is the length of the segment?

  • Question 8
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    If \(\int_{-2}^{5} f(x) d x=4\) and \(\int_{0}^{5}\{1+f(x)\} d x=7,\) then what is \(\int_{-2}^{0} f(x) d(x)\) equal to?

  • Question 9
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    Equation of the curve passing through (3, 9) which satisfies the differential equation

    \(\frac{d y}{d x}=x+\frac{1}{x^{2}}\) is

  • Question 10
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    A man goes 10m due east and then 24m due north. Find the distance from the starting point.

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