| A line intersects the y-axis and x-axis at the points P and Q respectively |
| A circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA |
| Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord |
| Which term of the progression ... is the first negative term |
| Find the value of p, for which one root of the quadratic equation is 6 times the other |
| The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18 |
| If a tower 30 m high, casts a shadow m long on the ground |
| If the angle between two tangents drawn from an external point P to a circle of radius a and centre O |
| What is the common difference of an A.P |
| In a class test, the sum of Arun’s marks in Hindi and English is 30 |
| How many terms of the Arithmetic Progression 45, 39, 33, ... must be taken so that their sum is 180 |
| Which term of the Arithmetic Progression -7, -12, -17, -22, ... will be -82 ? |
| Prove that: = 2 + |
| Prove that: + = |
| Change the following data into less than type distribution |
| A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm |
| Amit, standing on a horizontal plane, finds a bird flying at a distance of 200 m from him |
| Write all the values of p for which the quadratic equation |
| Find the zeroes of the quadratic polynomial |
| For what value of k, is the polynomial |
| Find the mean marks of the students |
| A solid is in the form of a cylinder with hemispherical ends |
| ABCD is a square with side cm and inscribed in a circle |
| A square OABC is inscribed in a quadrant OPBQ. If OA = 15 cm |
| Evaluate: (3 sin 43°/cos 47°)^2 |
| Find the ratio in which the line x - 3y = 0 divides the line segment |
| PQ and RS are two parallel tangents to a circle with centre O |
| Diagonals of a trapezium PQRS intersect each other at the point O |
| Using Euclid’s Algorithm, find the HCF of 2048 and 960 |
| Prove that 2 + 5 is an irrational number |
| Find the mode of the following frequency distribution |
| Sumit is 3 times as old as his son |
| The larger of two supplementary angles exceeds the smaller by 18° |
| Find the value(s) of k so that the pair of equations x + 2y = 5 and 3x + ky + 15 = 0 |
| The probability of selecting a blue marble at random from a jar that contains |
| Find the area of a triangle whose vertices are given as (1, -1) (-4, 6) and (-3, -5) |
| Find a relation between x and y if the points A(x, y), B(-4, 6) and C(-2, 3) are collinear |
| Write the smallest number which is divisible by both 306 and 657 |
| ABC is an isosceles triangle right angled at C with AC = 4 cm |
| Write the coordinates of a point P on x-axis which is equidistant |
| If sin A = , calculate sec A |
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| Find the nature of roots of the quadratic equation |
| If HCF (336, 54) = 6, find LCM (336, 54) |