Class 10 Maths

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
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)