Q) Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that ∠APB= 2(∠OAB). Q26 B – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Step 1: Let’s make a diagram for better understanding of the question: Step 2: Next, we […]
August 2025
Q) In Figure, XY and X′Y′ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X′Y′ at B. Prove that ∠AOB = 90° Q26 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans:
Q) In a workshop, the number of teachers of English, Hindi and Science are 36, 60 and 84 respectively. Find the minimum number of rooms required, if in each room the same number of teachers are to be seated and all of them being of the same subject. Q27 – Sample Question Paper – Set
Q) Find the zeroes of the quadratic polynomial 2 x2 – (1 + 2√2) x + √2 and verify the relationship between zeroes and coefficients of the polynomial. Q28 – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: (i) In the given polynomial equation, to find zeroes, we will start with
 Q) Prove that = cosec A + cot A Q29 B– Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Let’s start from LHS: LHS = = = Let’s consider: cos A = P and ( 1 – sin A) = Q ∴ LHS = To normalize the denominator, let’s multiple
Prove that (cos A – sin A + 1) / (cos A + sin A – 1) = cosec A + cot A Read More »
Q) If sin θ + cos θ = √3, then prove that tan θ + cot θ = 1 Q29 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Given: sin θ + cos θ = √3 Step 1: By squaring on both sides, we get: ∴ (sin θ +
If sin θ + cos θ = √3, then prove that tan θ + cot θ = 1 Read More »
Q) On a particular day, Vidhi and Unnati couldn’t decide on who would get to drive the car. They had one coin each and flipped their coin exactly three times. The following was agreed upon:1. If Vidhi gets two heads in a row, she would drive the car2. If Unnati gets a head immediately followed
Q) Solve the following system of equations graphically: 2x + y = 6 and 2 x – y – 2 = 0. Find the area of the triangle so formed by two lines and x axis Q31 B – Sample Question Paper – Maths Standard – CBSE 2026 Ans: Part 1: Solving the linear equations: Step 1:
Solve the following system of equations graphically: 2x + y = 6 Read More »
Q) Five years hence, fathers age will be three times the age of son. Five years ago, father was seven times as old as his son. Find their present ages. Q31 C – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Let’s consider the father’s age is X and son’s
Q) The monthly income of Aryan and Babban are in the ratio 3:4 and their monthly expenditures are in ratio 5:7. If each saves ₹ 15,000 per month, find their monthly incomes. Q31 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Let the income of Aryan and Babban