NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

CBSE X Related Questions

  • 1.

    Which of the following sequence is \(\textit{not }\)an A.P. ?
     

      • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
      • \( -1.2, -3.2, -5.2, -7.2, \dots \)
      • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
      • \( 1^2, 3^2, 5^2, 7^2, \dots \)

    • 2.
      PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.


        • 3.
          Evaluate : \(\frac{3 \cos^2 30^{\circ} - 6 \csc^2 30^{\circ}}{\tan^2 60^{\circ}}\).


            • 4.
              The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

                • \(2:5\)
                • \(1:2\)
                • \(2:1\)
                • \(5:2\)

              • 5.
                Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
                Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

                  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                  • Assertion (A) is true, but Reason (R) is false.
                  • Assertion (A) is false, but Reason (R) is true.

                • 6.
                  Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).

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