Class 10 Maths

In an AP, if the common difference (d) = -4, and the seventh term
Prove that the lengths of tangents drawn from an external point to a circle are equal
Assertion (A): If one root of the quadratic equation $4x^2 − 10x + (k − 4) = 0$
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle
If the angle between two tangents drawn from an external point P to a circle of radius a and centre O
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms
The boilers are used in thermal power plants to store water and then used to produce steam
If the points A(2, 3), B(-5, 6), C(6, 7) and D(p, 4) are the vertices
In Fig. 1, ABCD is a rectangle. Find the values of x and y
Find the ratio in which the line x - 3y = 0 divides the line segment
How many terms of the Arithmetic Progression 45, 39, 33, ... must be taken so that their sum is 180
Find the sum of first 25 terms of the A.P.
Solve for x: $\frac{1}{x+1} +\frac{3}{5x+1} = \frac{5}{x+4}, x\ne-1, -\frac{1}{5}, -4$
In the given figure, ABCD is a rectangle of dimensions 21 cm x 14 cm
If the pair of linear equations x − y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is
The dimensions of a solid iron cuboid are 4.4 m x 2.6 m x 1.0 m
DE II BC. Find the length of side AD, given that AE = 1.8 cm
Two right triangles ABC and DBC are drawn on the same hypotenuse BC
Calculate the median salary of the data
Observe the figures given below carefully and answer the questions
Khushi wants to organize her birthday party
Use of mobile screen for long hours makes your eye sight weak and give you headaches
The following table gives the monthly consumption of electricity of 100 families
In an A.P, if $ S_{n} = 3n^2 + 5n $ and $ a_k = 164 $
From the top of a 7 m high building, the angle of elevation of the top
The shadow of a tower standing on a level ground is found to be 40 m
Two concentric circles with centre O are of radii 3 cm and 5 cm
Find the area of the sector of a circle of radius 7 cm
A die is rolled once. Find the probability of getting
Find the values of a and b for which the system of linear equations
A lending library has a fixed charge for first three days
Prove that $ \frac{1 + tan^2 A}{1 + cot^2 A} = sec^2A -1 $
Find the zeroes of the quadratic polynomial $ x^2 + 6x + 8 $
In the adjoining figure, A, B and C are points on OP, OQ and OR
In the adjoining figure, PT is a tangent at T to the circle with centre O. If $ \angle TPO = 30^o $, find the value of x
Find the roots of the quadratic equation $x^2 − x − 2 = 0 $
Find the discriminant of the quadratic equation $3x^2 -2x + \frac{1}{3} = 0$ and hence find the nature of its roots
Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2 : 3
If $ \sin\alpha = \frac{1}{2} $, then find the value of $ 3 \cos \alpha − 4 cos^3 \alpha $
Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact
The length of the tangent from an external point A to a circle
How many tangents can be drawn to a circle from a point on it
Which of the following is not a quadratic equation
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is
From a well-shuffled deck of 52 playing cards
The mode of the numbers 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 2, 6, 7 is
The angle of elevation of the top of a 30 m high tower
The length of the arc of a circle of radius 14 cm which subtends an angle of
The value of $ 5 \sin^2 90^{\circ} - 2 cos^20^{\circ} $ is
If $ \triangle ABC \sim \triangle DEF $ and $ \angle A = 47^{\circ}, \angle E = 83^{\circ} $