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: […]
July 2025
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: Step 1: Given polynomial equation 7 x2 + 18 x –
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
Q) While shuffling a pack of 52 cards, one card was accidently dropped. Find the probability that the dropped card(i) is not a face card.(ii) is a black king. PYQ: Q 25 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: (ii) Probability to get a non – face card: [Note:
Q) AD and PS are medians of triangles ABC and PQR respectively such that Δ ABD ~ Δ PQS. Prove that Δ ABC ~ Δ PQR. PYQ: Q 24 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Let’s first draw a diagram for the given question: [Note: prefer