In The Given Figure Pa And Pb Are Two Tangents Drawn To The Circle Cbse Class 10 Maths Solution

In The Given Figure Pa And Pb Are Two Tangents Drawn From Circles class 10 important questions very short answer (1 mark) question 1. in the given figure, o is the centre of a circle, ab is a chord and at is the tangent at a. if ∠aob = 100°, then calculate ∠bat. (2011d) solution: ∠1 = ∠2. ∠1 ∠2 100° = 180°. Given pa and pb are two tangents. pa is perpendicular to pb. in triangles pao and pbo, pa= pb [tangents drawn from external point are equal in length] op is common. oa= ob = radius. therefore by sss triangles are congruent. ∠apo=∠bpo = 90 2=45. in right angled triangle oap, ∠apo = ∠aop = (180 90) 2=45. pa = oa = 4 cm.

Class 10 Pa And Pb Are The Tangents Drawn To A Circle Wit 10. prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre. answer: first, draw a circle with centre o. choose an external point p and draw two tangents, pa and pb, at point a and point b, respectively. Exercise: 10.2. in q.1 to 3, choose the correct option and give justification. 1. from a point q, the length of the tangent to a circle is 24 cm and the distance of q from the centre is 25 cm. the radius of the circle is. (a) 7 cm. (b) 12 cm. (c) 15 cm. (d) 24.5 cm. Very short answer type questions [1 mark] question 1. from an external point p, tangents pa and pb are drawn to a circle with centre o. if ∠pab = 50°, then find ∠aob. solution: question 2. in given figure, pq is a tangent at a point c to a circle with centre o. if ab is a diameter and ∠cab = 30°, find ∠pca. Question 10. prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line­ segment joining the points of contact at the centre. sol. in the figure, pa and pb are the two tangents drawn to the cricle from a point p outside the circle. 0 is the centre of the circle.

In The Given Figure Pa And Pb Are Two Tangents To The Circleо Very short answer type questions [1 mark] question 1. from an external point p, tangents pa and pb are drawn to a circle with centre o. if ∠pab = 50°, then find ∠aob. solution: question 2. in given figure, pq is a tangent at a point c to a circle with centre o. if ab is a diameter and ∠cab = 30°, find ∠pca. Question 10. prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line­ segment joining the points of contact at the centre. sol. in the figure, pa and pb are the two tangents drawn to the cricle from a point p outside the circle. 0 is the centre of the circle. The line pt is drawn which is parallel to l and tangent to the circle. also, ab is drawn parallel to line l and is a secant to the circle. exercise 10.1 page number 209. 1. choose the correct option: from a point q, the length of the tangent to a circle is 24 cm and the distance of q from the centre is 25 cm. Circles class 10 extra questions short answer type 2. question 1. two tangents tp and tq are drawn to a circle with centre o from an external point t. prove that ∠ptq = 2∠opq. [cbse delhi 2017] answer: given: tp, tq are tangents to circle c (o, r) at p and q. to prove: ∠ptq = 2∠opq. proof: let ∠opq = θ.

In The Given Figure Pa And Pb Are Tangents To The Circle Draw The line pt is drawn which is parallel to l and tangent to the circle. also, ab is drawn parallel to line l and is a secant to the circle. exercise 10.1 page number 209. 1. choose the correct option: from a point q, the length of the tangent to a circle is 24 cm and the distance of q from the centre is 25 cm. Circles class 10 extra questions short answer type 2. question 1. two tangents tp and tq are drawn to a circle with centre o from an external point t. prove that ∠ptq = 2∠opq. [cbse delhi 2017] answer: given: tp, tq are tangents to circle c (o, r) at p and q. to prove: ∠ptq = 2∠opq. proof: let ∠opq = θ.