NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.1 Solutions

CBSE X Related Questions

  • 1.
    Find the sum of first 20 terms of an A.P. whose n\(^{th}\) term is given by \(a_n = 5 + 2n\). Can 52 be a term of this A.P. ?


      • 2.
        In \(\triangle ABC, DE || BC\). If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is
         △ABC,DE||BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1)

          • 1
          • \(\frac{1}{2}\)
          • --1
          • \(\frac{1}{3}\)

        • 3.
          Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


            • 4.
              Three coins are tossed together. The probability that at least one head comes up is

                • \(\dfrac{3}{8}\)
                • \(\dfrac{7}{8}\)
                • \(\dfrac{1}{8}\)
                • \(\dfrac{3}{4}\)

              • 5.
                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


                  • 6.

                    In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

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