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Q) The coordinates of the centre of a circle are (x − 7, 2 x). Find the value(s) of ’x’, if the circle passes through the point (− 9, 11) and has radius 5 √2 units. (Q23 – 30/1/1 – CBSE 2026 Question Paper) Ans: Step 1: We are given, Coordinates of the centre = […]
Q) If α, β are the zeroes of the polynomial p(x) = x^2 − 3x − 1, then find the value of 1/α +1/β. (Q21 – 30/1/1 – CBSE 2026 Question Paper) Ans:     Step 1: Given polynomial, p (x) = x 2 – 3 x – 1 For p (x) = 0, x 2
Q) Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, PT is the tangent to a circle with center O. We have drawn QT
Q)Â The mean of the following frequency distribution is 35. Find the values of x and y, if the sum of frequencies is 25: (Q35 – 30/1/1 – CBSE 2026 Question Paper) Ans: Step 1: Le’ts calculate the sum of frequencies: By 1st condition, we are given that sum of frequencies is 25 From table,
Q) Do the points P (1, 0), Q (-5, 0) and R (-2, 5) form a triangle ? If so, name the type of triangle formed. (Q21 – 30/1/3 – CBSE 2026 Question Paper) Ans:Â Step 1: Let’s first understand the question: By Triangle Inequality Property, We know that to form a triangle, the sum
Q) If tan θ =24/7, then find the value of sin θ + cos θ. (Q 22 A – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: We know that in a right angled triangle, tan θ is given by: Since we are given that tan θ = ∴ We can assume that Opposite
If tan θ =24/7, then find the value of sin θ + cos θ. Read More »
Q) If cot θ =7/8, then find the value of (1+sin θ)(1−sin θ)/(1+cos θ)(1−cos θ). (Q 22 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s first simiplify the given expression: = ………… (i) Step 2: From Trigonometric identity, we know that sin 2 θ + cos 2 θ = 1 ∴ 1
If cot θ =7/8, then find the value of (1+sin θ)(1−sin θ)/(1+cos θ)(1−cos θ). Read More »
Q) Two concentric circle are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle. (Q23 – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s draw a diagram for our better understanding of the question: Here, we have 2 concentric circles,
Q) Find a quadratic polynomial whose zeroes are (5-2√3) and (5+2√3). (Q24 – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: The zeroes for the polynomial given as (5 – 2√3) and (5 + 2√3): Let’s consider, one root, α = (5 – 2√3) and other root, β = (5 + 2√3) Step 2: Sum
Find a quadratic polynomial whose zeroes are (5-2√3) and (5+2√3). Read More »
Q) In â–³ABC, DE ∥ BC. If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, then find the value of x. (Q 25 A – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s make a diagram for better understanding of the question: