Q) If sin θ = , prove that . Ans: Let’s start LHS: = = ∵ 1- cos2 θ= sin2 θ ∴ LHS = = = = = cot θ ∵ sin θ = ∴ cot θ = ∴ LHS = = RHS Hence Proved !

If sin θ = 3/4, prove that Root [(cosec 2θ − cot 2 θ} / (sec 2 θ − 1)] = √7 / 3 Read More »

Q) If sin θ = , prove that . Ans: Let’s start LHS: = = ∵ 1- cos2 θ= sin2 θ ∴ LHS = = = = = cot θ ∵ sin θ = ∴ cot θ = ∴ LHS = = RHS Hence Proved !

If sin θ = 3/4, prove that Root [(cosec 2θ − cot 2 θ} / (sec 2 θ − 1)] = √7 / 3 Read More »

Q) Mrs. Gupta arranged some snacks for her child’s birthday party. After the guest left she had some food left over. She did not want to waste food and so she contacted a local NGO. She gave 60 pieces of pastries,168 pieces of cookies, and 330 chocolate bars to the team. Now the NGO workers want

Mrs. Gupta arranged some snacks for her child’s birthday party. Read More »

Q) Solve for x and y: = -1; = 3 Ans: Let’s take the equations one by one: = -1 3X + 4 Y = – 6 ………. (i) Similarly, = 3 We can write this as: = 3 3X – Y = 9 ….. (ii) By solving equations (i) and (ii), we get: X =

Solve for x and y : x / 2 + 2y / 3 = − 1; x − y / 3 = 3 Read More »

Q) In Fig. AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD. Ans: ∵ AD bisects ∠ A We know that, according to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other

In Fig. AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD. Read More »