NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.4 Solutions

CBSE X Related Questions

  • 1.
    Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
    (i) $pqr + 1$ is a composite number
    (ii) $pqr + 1$ is a prime number


      • 2.
        Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).


          • 3.
            If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

              • 12 and 13
              • 13 and 12
              • 10 and 15
              • 15 and 10

            • 4.
              In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]


                • 5.
                  If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is

                    • 2
                    • \( \frac{3}{2} \)
                    • 4
                    • \( \frac{5}{2} \)

                  • 6.

                    There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.

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