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  • Question 1
    1 / -0

    If 9 A.M.s and 9 H.M.s are inserted between 2 and 3 and A be any A.M. and H be the corresponding H.M.,then H(5−A)=

  • Question 2
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    The digits of a three-digit number form a G.P. If 400 is subtracted from it, then we get another three-digit number whose digits form an arithmetic series. What is the sum of these two numbers?

  • Question 3
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    The sum of the infinite series \(1+\left(1+\frac{1}{2}\right)\left(\frac{1}{3}\right)+\left(1+\frac{1}{2}+\frac{1}{2^{2}}\right)\left(\frac{1}{3^{2}}\right)+\ldots \ldots \infty\)

  • Question 4
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    The least value of 1 / 2 + 2 / 3 cosec2θ + 3 /8 sec2θ is

  • Question 5
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    If \(a_{1}, a_{2}, a_{3}, a_{4}\) and \(b\) are real numbers such that \(\left(a_{1}^{2}+a_{2}^{2}+a_{3}^{2}\right) b^{2}-2\left(a_{1} a_{2}+a_{2} a_{3}+a_{3} a_{4}\right) b+\left(a_{2}^{2}+a_{3}^{2}+a_{4}^{2}\right) \leq 0\) then \(a_{1}, a_{2}, a_{3}, a_{4}\) are
    the terms of a/an

  • Question 6
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    The equation of the locus of the points equidistant from the points A(−2,3) and B(6,−5) is

  • Question 7
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    The distance between the points (2,π/2),(5,tan−14/3) is

  • Question 8
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    The distance between (a,π/2) and (3a,π/6) is

  • Question 9
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    The polar equation of xcos(α)+ysin(α)=p is

  • Question 10
    1 / -0

    The quadratic equation whose roots are the x and y intercepts of the line passing through (1,1) and making a triangle of area A with the axes, may be

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