NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.1

CBSE X Related Questions

  • 1.
    Prove that :
    \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


      • 2.
        If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

          • $x^2 + 5x - 4$
          • $(x + 3) (-x + 8)$
          • $a(x^2 + 5x - 24)$
          • $x^2 - 24$

        • 3.
          If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

            • \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \)
            • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
            • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} \)
            • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)

          • 4.
            If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).


              • 5.
                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.


                  • 6.
                    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

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