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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 car 2. If Unnati gets a head
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:
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
Q. A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed? Q32 – Sample Question
Q) Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Hence in ΔPQR, prove that a line ℓ intersects the sides PQ and PR of a ∆ PQR at L and M
Q) From a solid right circular cone, whose height is 6 cm and radius of base is 12 cm, a right circular cylindrical cavity of height 3 cm and radius 4 cm is hollowed out such that bases of cone and cylinder form concentric circles. Find the surface area of the remaining solid in terms
Q) If the mode of the following distribution is 55, then find the value of x. Hence, find the mean. Q35 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans:Â Approach: Let’s start calculating the mode value for the given data and it will be calculated in terms of
Q) A survey regarding heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained: Find the median height of girls. If mode of the above distribution is 148.05, find the mean using empirical formula. Q35 B – Sample Question Paper – Set 1 – Maths