NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1

CBSE X Related Questions

  • 1.
    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.


      • 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.
          \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

            • \(\frac{21}{4} \text{ cm}\)
            • \(\frac{28}{3} \text{ cm}\)
            • \(\frac{12}{7} \text{ cm}\)
            • \(5.5 \text{ cm}\)

          • 4.
            A kite is flying at a height of \(60 \text{ m}\) above the ground level. Ravi, standing at the roof of the house is holding the string straight and observes the angle of elevation of kite as \(30^{\circ}\). From the bottom of the same building, the angle of elevation of kite is \(45^{\circ}\). Find the length of the string and height of roof from the ground. (Use \(\sqrt{3} = 1.73\))


              • 5.
                A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.


                  • 6.
                    Prove that :
                    \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

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