Mathematics Questions
Browse 1,240 Mathematics questions with expert-verified, step-by-step solutions — NCERT, exemplar and previous-year questions, organised by chapter.
Chapters
Ch01 Real NumbersCh01 Real NumbersCh02 PolynomialsCh02 PolynomialsCh03 Pair of Linear EquationsCh03 Pair of Linear Equations in Two VariablesCh04 Quadratic EquationsCh04 Quadratic EquationsCh05 Arithmetic ProgressionsCh05 Arithmetic ProgressionsCh06 TrianglesCh06 TrianglesCh07 Coordinate GeometryCh07 Coordinate GeometryCh08 Introduction to Trigonometry and its ApplicationsCh08 TrigonometryCh09 Applications of TrigonometryCh09 CirclesCh10 CirclesCh10 ConstructionsCh11 Areas Related to CirclesCh11 Areas Related to CirclesCh12 Surface Areas and VolumesCh12 Surface Areas and VolumesCh13 StatisticsCh13 Statistics and ProbabilityCh14 ProbabilityA1 Proofs in MathematicsA2 Mathematical Modelling
- Q1121 CBSE Board 2026A bag contains balls out of which '' number of balls are blue in colour.
- (i)Find the probability that a ball drawn at random from the bag is not blue.
- (ii)If more blue balls are added in the bag, then the probability of drawing a blue ball will be times the probability of drawing a blue ball in the first case. Find the value of .
- Q1122 CBSE Board 2026Solve the system of linear equations and graphically.
- Q1123 CBSE Board 2026If , prove that .
- Q1124 CBSE Board 2026Two dice are rolled together. Find the probability that:
- (i)the sum of the numbers obtained is .
- (ii)the product of the numbers obtained is .
- Q1125 CBSE Board 2026T is a point on the line PS produced of a parallelogram PQRS and QT intersects RS at V. Prove that .
- Q1126 CBSE Board 2026If are zeroes of the polynomial , then form a quadratic polynomial whose zeroes are and .
- Q1127 CBSE Board 2026Find the zeroes of the polynomial and verify the relationship between its zeroes and the coefficients.
- Q1128 CBSE Board 2026Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
- Q1129 CBSE Board 2026Two dice of different colours are thrown at the same time. Write down all the possible outcomes. What is the probability that :
- (i)same number appears on both the dice ?
- (ii)different number appears on both the dice ?
- Q1130 CBSE Board 2026Two dice are thrown at the same time. Determine the probability that the
- (i)sum of the numbers on the two dice is , and
- (ii)difference of the numbers on the two dice is .
- Q1131 CBSE Board 2026Chord of a circle subtends an angle of at the centre of the circle. Find the length of arc , if radius of the circle is cm.
Chord AB subtending 120° at the centre O. - Q1132 CBSE Board 2026A chord of a circle of diameter cm subtends an angle of at the centre . Find the area of the sector , where is a point on minor arc . Also, find the area of segment .
- Q1133 CBSE Board 2026Find the greatest number less than which is exactly divisible by , and .
- Q1134 CBSE Board 2026The dimensions of a window are cm cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
- Q1135 CBSE Board 2026Find the mean of the following distribution :
- Q1136 CBSE Board 2026In the adjoining figure, is the diameter of the circle with centre . Two tangents and are drawn to the circle at points and respectively. Prove that . Further, a line touches the circle at and . Find the measure of .
- Q1137 CBSE Board 2026Two tangents and are drawn from an external point to a circle with centre as shown in the given figure. If , find the measures of each angle of .
- Q1138 CBSE Board 2026The vertices of a rhombus are , , and . Find the length of both the diagonals. Hence, find area of the rhombus .
- Q1139 CBSE Board 2026In the given figure, is the tangent to the circle with centre such that cm, cm and . Find the length of .
- Q1140 CBSE Board 2026The line segment joining the points and is trisected at the points and such that is nearer to . If lies on the line , then find the value of .