Class 10 Maths

Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3)
Find the sum of first 8 multiples of 3
Given that $\sqrt{2}$ is irrational, prove that $(5 + 3\sqrt{2})$ is an irrational number
Given $\Delta ABC \sim \Delta PQR$, if $\frac{AB}{PQ} =\frac{1}{3}$
What is the value of $(cos^2 67° - sin^2 23°)$
Find the distance of a point P(x, y) from the origin
What is the HCF of smallest prime number and the smallest composite number
If x = 3 is one root of the quadratic equation
In a rain-water harvesting system, the rain-water from a roof of 22 m x 20 m drains
Two different dice are thrown together. Find the probability that the numbers obtained have
If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear, then find the value of k
An aeroplane is flying at a height of 300 m above the ground
In the given figure, XY and X'Y'are two parallel tangents to a circle with centre O
If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27)
Two taps running together can fill a tank in 3$\frac{1}{13}$ hours
The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends
Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hour
In what ratio does the point (24/11, y) divide the line segment joining the points P(2, - 2) and Q(3, 7)
A bag contains 15 white and some black balls
On a straight line passing through the foot of a tower, two points C and D
The first term of an A.P. is 5, the last term is 45 and the sum of all its terms is 400
If ad $\ne$ bc, then prove that the equation
If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal
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
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
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
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