10 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Construction of Tangents
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If TP and TQ are two tangents to a circle with centre O so that angle POQ = 110° then angle PTQ is equal to
Detailed Solution for Test: Construction of Tangents - Question 4
We know that the sum of angle made by two tangents joined by an exterior point and the angle made at the centre of the circle is equal to 180 degrees
So, Angle POQ + Angle PTQ = 180
110 + Angle PTQ = 180
Angle PTQ = 180- 110 = 70 degrees
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at the end points to those two radii of the side, the angle between which is
Detailed Solution for Test: Construction of Tangents - Question 7
∠OQP=90o=∠ORP since the angle, between a tangent to a circle and the radius of the same circle passing through the point of contact, is 90o.
∴ By angle sum property of quadrilaterals, we get ∠OQP+∠RPQ+∠ORP+∠ROQ=360o⟹90o+60o+90o+∠ROQ=360o⟹∠ROQ=120o.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 45° it is required to draw tangents at the end point of those two radii of the circle, the angle between which is :
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