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Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ. 3 years ago Satkriti Roao class 9 cbse ncert circles Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. 3 years ago Satkriti Roao class 9 cbse ncert circles AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters; (ii) ABCD is a rectangle. 3 years ago Satkriti Roao class 9 cbse ncert circles ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE, = AD. 3 years ago Satkriti Roao class 9 cbse ncert circles Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals. 3 years ago Satkriti Roao class 9 cbse ncert circles Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. 3 years ago Satkriti Roao class 9 cbse ncert circles The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at a distance 4 cm from the centre, what is the distance of the other chord from the centre? 3 years ago Satkriti Roao class 9 cbse ncert circles Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6, find the radius of the circle. 3 years ago Satkriti Roao class 9 cbse ncert circles Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection. 3 years ago Satkriti Roao class 9 cbse ncert circles ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD. 3 years ago Satkriti Roao class 9 cbse ncert circles If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side. 3 years ago Satkriti Roao class 9 cbse ncert circles Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Figure). Prove that ∠ACP = ∠QCD. 3 years ago Satkriti Roao class 9 cbse ncert circles If the non-parallel sides of a trapezium are equal, prove that it is cyclic. 3 years ago Satkriti Roao class 9 cbse ncert circles If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. 3 years ago Satkriti Roao class 9 cbse ncert circles ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC = 70°, ∠BAC is 30°, find ∠BCD. Further, if AB = BC, find ∠ECD. 3 years ago Satkriti Roao class 9 cbse ncert circles In Figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find BAC. 3 years ago Satkriti Roao class 9 cbse ncert circles In Figure, ABC = 69°, ACB = 31°, find BDC. 3 years ago Satkriti Roao class 9 cbse ncert circles In Figure, PQR = 100°, where P, Q and R are points on a circle with centre O. Find OPR. 3 years ago Satkriti Roao class 9 cbse ncert circles A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc. 3 years ago Satkriti Roao class 9 cbse ncert circles Page 1 / 5 1 2 3 4 5 Next Share: Super Globals Requests: Server: Options and Features route: community use_home_url: url: https://eanshub.com/community/ pageid:187 default_groupid: 3 2022 How Can We Help? Δ Home About Us Contact Us Privacy Policy Term of Use Copyright © 2020 Eanshub All Rights Reserved
