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Q) Find the area of the sector of a circle of radius 42 cm and of central angle 30 deg. Also, find the area of the corresponding major sector. [Use π = 22/7] (Q 30 – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s make a diagram for our better understanding: Here, […]
circles
Q) Prove that the lengths of tangents drawn from an external point to a circle are equal. (Q 29 A – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start with a diagram for our better understanding: Here, we have a circle with center O and radius r. P is an external point.
Q) In the given figure, O is the centre of the circle. PQ and PR are tangents. Show that the quadrilateral PQOR is cyclic. (Q 23 – 30/2/2 – CBSE 2026 Question Paper) Ans: Since in a cyclic Quadrilateral, sum of opposite angles is 180 0 ∴ if we need to prove that PQOR is a
Q) Find the area of the segment AYB shown in the figure, if the radius of the circle is 21 cm and angle AOB = 1200. [Use π = 22/7] (Q 27 – 30/2/2 – CBSE 2026 Question Paper) Ans: Step 1: From the diagram, we can see that the area of segment AYB =
Q) Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. (Q 31A – 30/2/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, we have a circle with center O and IB is its
Q) From an external point P, two tangents PA and PB are drawn to the circle with centre O. If ∠PAB=50°, then find ∠AOB Ans: Step 1: Let’s draw a diagram with a circle with O as centre. Let the two tangents PA and PB are drawn from point A on to this circle and
Q) In the given figure, AC is the diameter of the circle with centre O. CD is parallel to BE. ∠AOB = 80⁰ and ∠ACE = 20⁰. Calculate: (a) ∠ BEC (b) ∠ BCD (c) ∠ CED ICSE Specimen Question Paper (SQP) 2026 Ans: Step 1: AC is the straight line and hence ∠ AOB +
In the given figure, AC is the diameter of the circle with centre O. Read More »
Q) In the given figure (not drawn to scale) chords AD and BC intersect at P, where AB = 9 cm, PB = 3 cm and PD = 2 cm. (a) Prove that ∆APB ~ ∆CPD. (b) Find the length of CD. (c) Find area ∆APB : area ∆CPD. ICSE Specimen Question Paper (SQP)2026 Ans: a) Prove
In the given figure (not drawn to scale) chords AD and BC intersect at P Read More »
Q) In the given figure, the parallelogram ABCD circumscribe a circle, touching circle at P, Q, R and S. (a) Prove that: AB = BC (b) What special name can be given to the parallelogram ABCD? ICSE Specimen Question Paper – 2026 Ans: For a detailed answer to this question, please refer to the similar
Q) Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that ∠ APB= 2 ∠ OAB. (Q26 B – Sample Question Paper – CBSE 2026) OR Q) Two tangents TP and TQ are drawn to a circle with centre O from an external point T.