NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.5

CBSE X Related Questions

  • 1.
    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.


      • 2.
        Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


          • 3.
            In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.


              • 4.
                Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


                  • 5.
                    If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

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

                    • 6.
                      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.

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