NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3

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Jasmine Grover

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CBSE X Related Questions

  • 1.
    In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

    35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)


      • 2.
        In the given figure, PQ is a tangent to a circle with centre \(O(-5, 3)\). If coordinates of P and Q are \((3, 1)\) and \((0, 6)\) respectively, then using distance formula, show that \(PQ \perp OQ\).


          • 3.
            Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :


              • 4.
                If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

                  • \( \sqrt{3} \)
                  • \( \frac{4}{\sqrt{3}} \)
                  • \( \frac{\sqrt{3}}{2} \)
                  • \( 1 \)

                • 5.
                  In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).


                    • 6.
                      Determine the ratio in which the line \(2x + y = 6\) divides the line segment joining the points (1, 3) and (2, 5).

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