Skip to content
Q) In a Δ ABC, D and E are points on the sides AB and AC respectively such that BD = CE. If ∠B = ∠C, then show that DE ǁ BC Ans: Let’s start with the diagram for he given question: Step 1: We are given ∠ B = ∠ C, ∴ AB = AC […]
Q) If a hexagon ABCDEF circumscribes a circle, prove that AB + CD + EF = BC + DE + FA. (Q 31B – 30/2/2 – CBSE 2026 Question Paper) Ans: Let’s first draw a diagram for the given question: Let ABCDEF be the Heaxagon which is circumscribed on a circle. This circle has Center
If a hexagon ABCDEF circumscribes a circle, prove that AB + CD + EF = BC + DE + FA. Read More »
Q) If sin A = and cos B = , then find the value of (tan A + tan B) Ans: We To find the value of tan A + tan B, we need to find the value of tan A and tan B Step 1: We are given sin A = We know
If sin A = 3/5 and cos B = 12/13 , then find the value of (tan A + tan B) Read More »
Q) If tan θ + sec θ = m, then prove that sec θ = . Ans: We are given: tan θ + sec θ = m ………… (i) Next, we calculate value of tan θ + sec θ To do that, we multiply and divide (tan θ + sec θ) by (tan θ
If tan θ + sec θ = m, then prove that sec θ = (m2 + 1)/2m Read More »
Q) A horse, a cow and a goat are tied, each by ropes of length 14 m, at the corners A, B and C respectively, of a grassy triangular field ABC with sides of lengths 35 m, 40 m and 50 m. Find the total area of grass field that can be grazed by them.
A horse, a cow and a goat are tied, each by ropes of length 14 m, at the corners Read More »
Q) Find the zeroes of the polynomial f(t) = t2 + 4 √3 t – 15 and verify the relationship between the zeroes and the coefficients of the polynomial. Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, t2 + 4√3 t – 15 = 0 Step
Find the zeroes of the polynomial f(t) = t2 + 4 √3 t – 15 and verify the relationship Read More »
Q) If 𝛼, β are zeroes of quadratic polynomial f(x) = 6 x2 + 11 x – 10, find the value of Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, 6 x2 + 11 x – 10 = 0 Step 1: Given that the roots of
Q) The monthly incomes of A and B are in the ratio 8 : 7 and their expenditures are in the ratio 19 : 16. If each saves 2500 per month, find the monthly income of each. Ans: Let the income of A and B be 8 X and 7 X Since Saving = Income
Q) A circle is inscribed in a right-angled triangle ABC, right-angled at B. If BC = 7 cm and AB = 24 cm, find the radius of the circle. Q25 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Let’s first draw a diagram for the given question: By Pythagorus
Q) Prove that : tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + tan θ + cot θ Ans: Here, let’s start by simplifying the LHS in given equation: LHS = = = Let’s make the denominators equal: LHS = = = We know that a3
Prove that : tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + tan θ + cot θ Read More »