Class 10 Maths

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 $20, 19 \frac{1}{4},18\frac{1}{2} ,17\frac{3}{4}$... is the first negative term
Find the value of p, for which one root of the quadratic equation $px^2 - 14x + 8 = 0$ 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 $10\sqrt{3}$ 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:  $\frac{\sin\theta} {\cot\theta +\csc\theta}$ = 2 + $\frac{\sin\theta}{\cot\theta - \csc\theta}$
Prove that: $\frac{\tan\theta} {1- \cot\theta}$ + $\frac{\cot\theta}{1-\tan\theta}$ = $1 + \sec\theta \csc\theta$
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 $x^2 + px + 16 = 0$
Find the zeroes of the quadratic polynomial $7y^2 - \frac{11}{3}y - \frac{2}{3}$
For what value of k, is the polynomial $f(x) = 3x^4 - 9x^3 + x^2 + 15x + k$
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 $2\sqrt{2}$ 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 $\sqrt{3}$ 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 = $\frac{3}{4}$ , calculate sec A
$\sin^2 60^{\circ} + 2 \tan 45^{\circ} – \cos^2 30^{\circ} $
$ \frac{1}{a},\frac{3 - a}{3a},\frac{3 - 2a}{3a} ... (a \ne 0)$
Find the nature of roots of the quadratic equation $2x^2 – 4x + 3 = 0$
If HCF (336, 54) = 6, find LCM (336, 54)