Day 229: CBSE Class 10 Maths

Circles. Asked once: 2022

4 (a)

In Fig. 1, AB is diameter of a circle centered at O. BC is tangent to the circle at B. If OP bisects the chord AD and $\angle AOP = 60^\circ$, then find $m\angle C$.

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Real Numbers. Asked once: 2023

Triangles. Asked once: 2025

21

In the adjoining figure, $\dfrac{AD}{BD} = \dfrac{AE}{EC}$ and $\angle BDE = \angle CED$, prove that $\Delta ABC$ is an isosceles triangle.

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Circles. Asked once: 2022

12

In Figure 1, a triangle ABC with $\angle B = 90^\circ$ is shown. Taking AB as diameter, a circle has been drawn intersecting AC at point P. Prove that the tangent drawn at point P bisects BC.

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Real Numbers. Asked once: 2023