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From a point P, 10cm away from the centr...

From a point `P`, `10cm` away from the centre of a circle, a tangent `PT` of length `8cm` is drawn. Find the radius of the circle.

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To solve the problem, we will use the Pythagorean theorem. Let's break down the solution step by step: ### Step 1: Understand the Geometry We have a circle with center O, a point P outside the circle, and a tangent PT drawn from point P to the circle. The length of the tangent PT is given as 8 cm, and the distance OP from point P to the center O is given as 10 cm. We need to find the radius OT of the circle. ### Step 2: Identify the Right Triangle In triangle OTP, we can identify: - OP as the hypotenuse (10 cm) ...
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RS AGGARWAL-CIRCLES-Test Yourself
  1. From a point P, 10cm away from the centre of a circle, a tangent PT of...

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  2. In the given figure ,'O is the centre of circle ,PQ is a chord and the...

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  3. If the angle between two radii of a circle is 130^(@) then the angle b...

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  4. If tangents PA and PB from a point P to circle with centre O drawn so ...

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  5. In the given figure, AD and AE are the tangents to a circle with centr...

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  6. In the given figure, a quadrilateral ABCD is drawn to circumscribe a c...

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  7. In the given figure, PA and PB are the tangents to a circle with centr...

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  8. In the given figure, PA and PB are two tangents from an external point...

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  9. Two tangent segments BC and BDare drawn to a circle with centre O such...

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  10. Fill in the blanks (i) A line intersecting a circle in two distinct ...

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  11. Prove that the length of the tangents drawn from an external point to ...

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  12. Prove that the tangents drawn at the ends of the diameter of a circle ...

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  13. In the given figure, if AB=AC, prove that BE=CE.

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  14. Theorem:If two tangents are drawn to a circle from an external point ;...

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  15. Prove that the tangents drawn at the end points of a chord of a circle...

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  16. सिद्ध कीजिए कि किसी वृत्त के परिगत समांतर चतुर्भुज समचतुर्भुज होता है...

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  17. Two concentric circles are of radii 5cm and 3cm respectively. Find the...

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  18. एक वृत्त के परिगत एक चतुर्भुज ABCD खींचा गया है सिद्ध कीजिए AB +CD =...

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  19. Prove that opposite sides of a quadrilateral circumscribing a circle s...

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  20. Prove that the angle between the two tangents drawn from an external ...

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  21. PQ is a chord of length 16cm of a circle of radius 10cm. The tangents ...

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