Ex 10 2 10 Prove That Angle Between Two Tangentsо Transcript. ex 10.2,10 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. given: a circle with center o. tangents pa and pb drawn from external point p to prove: apb aob = 180 proof: in quadrilateral. 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. solution: ex 10.2 class 10 maths question 11. prove that the parallelogram circumscribing a circle is a rhombus. solution: ex 10.2 class 10 maths question 12.
Ex 10 2 10 Prove That Angle Between Two Tangentsо 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 center. 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. The two radii and the line segment joining the points of tangency form a triangle within the circle. the angle between the two tangents, drawn from the external point, acts as an external angle to this triangle. according to the external angle theorem in geometry, an external angle of a triangle is equal to the sum of the two opposite internal. Ncert solutions class 10 maths chapter 10 exercise 10.2 question 10. summary: it has been proved that the angle between the two tangents drawn from an external point to a circle, that is, ∠apb is supplementary to the angle subtended by the line segment joining the point of contact at the centre, that is, ∠aob. thus, ∠apb ∠boa = 180°. So, the result that the tangents drawn from an external point are equal, will be applied here. question 9. in fig. 10.13, xy and x′y′ are two parallel tangents to a circle with centre o and another tangent ab with point of contact c intersecting xy at a and x′y′ at b. prove that ∠ aob = 90°. solution:.
Class 10 Ex 10 2 Q10 Circles Prove That The Angle Between Ncert solutions class 10 maths chapter 10 exercise 10.2 question 10. summary: it has been proved that the angle between the two tangents drawn from an external point to a circle, that is, ∠apb is supplementary to the angle subtended by the line segment joining the point of contact at the centre, that is, ∠aob. thus, ∠apb ∠boa = 180°. So, the result that the tangents drawn from an external point are equal, will be applied here. question 9. in fig. 10.13, xy and x′y′ are two parallel tangents to a circle with centre o and another tangent ab with point of contact c intersecting xy at a and x′y′ at b. prove that ∠ aob = 90°. solution:. Ex 10.2 class 10 maths 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 center. solution: from the figure, pa and pb are tangents drawn from an external point p to the circle with center o. a and b. 2∠coa 2∠cob = 180° ⇒ ∠aob = 90° ex 10.2 class 10 ncert solutions for class 10 maths. 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.
Prove That The Angle Between The Two Tangents Drawn From An Exte Ex 10.2 class 10 maths 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 center. solution: from the figure, pa and pb are tangents drawn from an external point p to the circle with center o. a and b. 2∠coa 2∠cob = 180° ⇒ ∠aob = 90° ex 10.2 class 10 ncert solutions for class 10 maths. 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.
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