Q) In a teachers’ workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject. Ans: STEP BY STEP SOLUTION The number of […]
June 2024
Q) A wooden toy is made by scooping out a hemisphere of same radius as of cylinder, from each end of a wooden solid cylinder. If the height of the cylinder is 20 cm and its base is of radius 7 cm, find the total surface area of the toy. Ans: Let’s first make a diagram
Q) A circle with centre O and radius 8 cm is inscribed in a quadrilateral ABCD in which P, Q, R, S are the points of contact as shown. If AD is perpendicular to DC, BC = 30 cm and BS = 24 cm, then find the length DC. Ans: To find length of DC, we
Q) A backyard is in the shape of a triangle ABC with right angle at B. AB = 7 m and BC = 15 m. A circular pit was dug inside it such that it touches the walls AC, BC and AB at P, Q and R respectively such that AP = x m. Based
A backyard is in the shape of a triangle ABC with right angle at B. Read More »
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. 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 O and radius R. Now let P, Q, R,
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 »