Class 10 Maths

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
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 the given figure, two concentric circles with centre O have radii 21 cm and 42 cm
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
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