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  • Question 1
    4 / -1

    The value of \(\int_{0}^{1} \mathrm{x}(1-\mathrm{x})^{99} \mathrm{dx}\) is

  • Question 2
    4 / -1

    The orthocenter of the triangle with vertices
    \(\left(2, \frac{\sqrt{3}-1}{2}\right) \cdot\left(\frac{1}{2},-\frac{1}{2}\right)\) and \(\left(2-\frac{1}{2}\right)\) is

  • Question 3
    4 / -1

    If one root of the quadratic equation \(a x^{2}+b x+c=0\) is equal to the \(n^{\text {th }}\) power of the other root, then the value of \(\left(a c^{n}\right)^{\frac{1}{n+1}}+\left(a^{n} c\right)^{\frac{1}{n+1}}\)

  • Question 4
    4 / -1

    In a ΔABC, a = 13 cm, b = 12 cm and c = 5 cm. The distance of A from BC is

  • Question 5
    4 / -1

    If the sum of odd coefficients of (1+z)5 is x, find the number of solutions of a+b+c+d=x where -x

  • Question 6
    4 / -1

    The lengths of sides of a triangle are in the ratio 5 : 12 : 13 and its area is 270 cm2. The respective lengths of sides of the triangle (in cm) are

  • Question 7
    4 / -1

    The value of the function \(f(n)\) is \(\frac{35}{16}\) which is represented \(\operatorname{as} f(n)=\sum_{n=0}^{\infty}(1+3 n) x^{n}\) Find the value of \(x\)

  • Question 8
    4 / -1

  • Question 9
    4 / -1

    If the lengths of the sides of a triangle are 3, 4, 5 units, then R (the circum-radius) is equal to

  • Question 10
    4 / -1

    In a triangle, the lengths of the two larger sides are 10 cm and 9 cm respectively. If the angles of the triangle are in A.P, then the length of the third side (in cm) can be

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