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Q) Find the smallest number that is divisible by each of 8, 9 and 10. Ans: Since, we need to find the smallest number which has to be multiple of the given numbers, clearly we need to find the LCM of 8,9, and 10 Let’s start with LCM of 8, 9, 10. By prime factorisation, we […]
Find the smallest number that is divisible by each of 8, 9 and 10. Read More »
Q) If Δ ABC ~ Δ DEF and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, find the perimeter of Δ ABC. Ans: Let’s start with the diagram for he given question: Step 1: Since we are given that Δ ABC ~ Δ DEF, ∴ Step 2:
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