Q) It is common that Governments revise travel fares from time to time based on various factors such as inflation ( a general increase in prices and fall in the purchasing value of money) on different types of vehicles like auto, Rickshaws, taxis, Radio cab etc. The auto charges in a city comprise of a fixed […]
Q) Amit is planning to buy a house and the layout is given below. The design and the measurement has been made such that areas of two bedrooms and kitchen together is 95 sq.m. Based on the above information, answer the following questions: 1. Form the pair of linear equations in two variables from this situation.
Q) Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile
Q) If in Δ ABC, AD is median and AE ⊥ BC, then prove that AB2 + AC2 = 2 AD2 + BC2 Ans: Step 1: Let’s make a diagram for the question: Step 2: In Δ ABE, ∠ AEB is 900, ∴ by Pythagoras theorem: AB2 = AE2 + BE2 …….. (i) Similarly, In Δ
If in Δ ABC, AD is median and AE ⊥ BC, then prove that AB2 + AC2= 2 AD2 +1/2 BC2 Read More »
Q) If in a triangle ABC right angled at B, AB = 6 units and BC = 8 units, then find the value of sin A cos C + cos A sin C. Ans: Step 1: Let’s make a diagram to better understand the question: Here Δ ABC is a right angle triangle and
Q) Write the smallest number which is divisible by both 306 and 657. Ans: (Note: Here, it is important to understand that since we need to find a number which is divisible by given 2 numbers, then it has to be a multiple of these given numbers, not a factor. Why? Because, factor will always
Write the smallest number which is divisible by both 306 and 657. Read More »
Q) A cylindrical tub, whose diameter is 12 cm and height 15 cm is full of ice-cream. The whole ice-cream is to be divided into 10 children in equal ice-cream cones, with conical base surmounted by hemispherical top. If the height of conical portion is twice the diameter of base, find the diameter of conical
Q) A metallic solid sphere of radius 10.5 cm melted and recasted into smaller solid cones each of radius 3.5 cm and height 3 cm. How may cones will be made? Ans: Step 1: Let’s draw a diagram to better understand the question: Here, according to question, we have sphere of radius 10.5 cm. This
Q) Write all the values of p for which the quadratic equation x2 + px +16 = 0 has equal roots. Find the roots of the equation so obtained. Ans: We know that in a standard quadratic equation, a x2 + b x + c = 0 will have equal
Q) Find X in terms of a b, and c: , X ≠ a, b, c Ans: Given equation is: ∴ ∴ [a (X – b) + b (X – a)] (X – c) = 2 c (X – a) (X – b) ∴ (a X – a b +
Find x in terms of a b, and c: a/(x – a) + b/(x – b) = 2 c/(x – c), x ≠ a, b, c Read More »