Q) From a solid cylinder of height 24 cm and radius 5 cm, two cones of height 12 cm and radius 5 cm are hollowed out. Find the volume and surface area of the remaining solid. PYQ: 34 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Given that the […]
Q) From one of the faces of a solid wooden cube of side 14 cm, maximum number of hemispheres of diameter 1.4 cm are scooped out. Find the total number of hemispheres that can be scooped out. Also, find the total surface area of the remaining solid. PYQ: 34 (a) – CBSE 2025 – Code
Q) Find the value(s) of p for which the quadratic equation given as (p + 4) x2 – (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained. PYQ: 32 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans:
Q) A 2-digit number is seven times the sum of its digits and two (2) more than 5 times the product of its digits. Find the number. PYQ: 32 (a) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Let’s consider the 2-digits of the number are a and
Q) Solve the following system of linear equations graphically: 2x- y – 2= 0 – 4 x + y + 4 = 0 Also, find the absolute difference between the ordinates of the points where given lines cut y – axis. PYQ: 28 – CBSE 2025 – Code 30 – Series 5 – Set 1
Q) Find a relation between x and y such that the point P(x, y) is equidistant from the points A (3, 5) and B (7, 1). Hence, write the coordinates of the points on x-axis and y-axis which are equidistant from points A and B. PYQ: 29 – CBSE 2025 – Code 30 – Series
Q) Let 2A + B and A + 2B be acute angles such that sin (2A + B) = √3 / 2 and tan (A + 2B) = 1. Find the value of cot (4A – 7B). PYQ: 30 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Let’s start solving
Q) Prove the following trigonometric identity: (1 + cosec A) / (cosec A) = (cos2 A) / (1 – sin A) PYQ: 30 (a) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Let’s start from LHS LHS = (1 + cosec A) / (cosec A) = (1 + (1 / sin
Q) Obtain the zeroes of the polynomial 7 x2 + 18 x – 9 Hence, write a polynomial each of whose zeroes is twice the zeroes of given polynomial. PYQ: Q 27 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: Given polynomial equation
Q) State true or false for each of the following statements and justify in each case:(i) 2 x 3 x 5 x 7 + 7 is a composite number.(ii) 2 x 3 x 5 x 7 + 1 is a composite number. PYQ: Q 26(b) – CBSE 2025 – Code 30 – Series 5 – Set