Class 10 Maths

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} $
The pair of linear equations x + 2y + 5 = 0 and −3x − 6y + 1 = 0 has
Which of the following cannot be the probability of an event?
If $ p(x) = x^2 + 5x + 6 $, then p (−2) is
The number $ 5 - 3\sqrt{5} + \sqrt{5} $ is
If the radius of a semi-circular protractor is 7 cm, then its perimeter is
(HCF × LCM) for the numbers 70 and 40 is
A quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively, is
The following distribution gives the daily income of 50 workers of a factory
The mean of the following distribution is 18. Find the frequency f of the class 19 - 21
As observed from the top of a 100 m high light house
The diameters of the lower and upper ends of a bucket in the form of a frustum of a
Prove that: $ \frac{\sin A - 2 \sin^3 A} {2 \cos^3 A – \cos A} = \tan A $
In an equilateral $\triangle$ ABC, D is a point on side BC such that BD
A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km
A motor boat whose speed is 18 km/hr in still water takes 1hr more to go 24 km
A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m
A wooden article was made by scooping out a hemisphere from each end of a solid
Find the area of the shaded region in Fig. 2, where arcs drawn with centres A, B, C and D intersect in pairs at mid-points
If tan 2A = cot (A - 18°), where 2A is an acute angle, find the value of A
$ If 4 \tan \theta = 3, evaluate \frac{4 \sin\theta - \cos\theta + 1}{4 \sin\theta + \cos \theta - 1}$
If the area of two similar triangles are equal, prove that they are congruent
Prove that the area of an equilateral triangle described on one side of the square is equal
A plane left 30 minutes late than its scheduled time and in order to reach the destination
If A(-5, 7), B(-4, -5), C(-1, -6) and D(4, 5) are the vertices of a quadrilateral
If A(-2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD
Find all zeroes of the polynomial $(2x^4 - 9x^3 + 5x^2 + 3x - 1)$
Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of the two given numbers
An integer is chosen at random between 1 and 100. Find the probability that it is
Two different dice are tossed together. Find the probability
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