Class 10

Question : If sinθ+cosθ=√3, then prove that tanθ+cotθ=1 CBSE Sample Question Paper 2025 Solution :  sinθ+cosθ=√3 S.B.S ( sinθ+cosθ)²=( √3)²...

Question : The students of a class are made to stand equally in rows. If 3 students are extra in each row, there would be 1 row less. If 3 ...

Question : The perimeter of a rectangle is 70 cm. The length of the rectangle is 5 cm more than twice its breadth. Express the given situat...

Question :  The two angles of a right angled triangle other than 90° are in the ratio 2:3. Express the given situation algebraically as a sy...

Question : The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units....

Question : Solve for x and y : √2x+√3y = 5 √3x-√8y =-√6 CBSE 2025 Solution :  √2x+√3y = 5 — (1) √3x-√8y =-√6 — (2)  [√2x+√3y = 5]× √3 [√3x-...

Question : Solve the following system of equations algebraically :  30x+44y=10  40x+55y=13 CBSE 2025 Solution :  30x+44y=10 — (1) 40x+55y=1...

Question : Solve the following system of equations algebraically : 37x+63y=137 63x+37y=163 CBSE 2025 Solution :    37x+63y=137 — (1)  63x+3...

Case Study Based Question on Chapter - 3  (Pair of Linear Equations in Two Variables) A school is organizing a grand cultural event to show...

Question :  A bag contains some red and blue balls. Ten percent of the red balls, when added to twenty percent of the blue balls, give a tot...