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 – Set 1 – Maths Standard – CBSE 2026 Ans: Step 1: Let’s make a diagram for better understanding of the question: Step 2: Next, we
Q) In Figure, 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° Q26 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans:
Q) In the given figure AC is the diameter of the circle with centre O. CD is parallel to BE. angle AOB = 80 deg and angle ACE = 20 deg . Calculate: (a) angle BEC (b) angle BCD (c) angle CED Ans: (a) ∠ BEC: Step 1: Given that ∠ AOB = 800 ∠
Q) In the given figure PT is a tangent to the circle. Chord BA produced meets the tangent PT at P. Given PT = 20cm and PA = 16cm. (a) Prove Δ ΡΤΒ ~ Δ ΡΑΤ (b) Find the length of AB. ICSE Specimen Question Paper (SQP)2025 Ans: a) Prove Δ ΡΤΒ ~ Δ ΡΑΤ:
Q) Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a
Q) A Ferris wheel (or a big wheel in the United Kingdom) is an amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components (commonly referred to as passenger cars, cabins, tubs, capsules, gondolas, or pods) attached to the rim in such a way that as the wheel turns, they are kept upright, usually
A Ferris wheel (or a big wheel in the United Kingdom) is an amusement ride consisting of Read More »
Q) In figure, a circle is inscribed in a Δ ABC having sides BC = 8 cm, AB = 10 cm and AC = 12 cm. Find the length BL, CM, and AN. Ans: Step 1: Let’s consider BL = X CL = BC – BL ∴ CL = 8 – X ………(i) Step 2: Since,