Class 10 Maths

Observe the figures given below carefully and answer the questions
Khushi wants to organize her birthday party
Use of mobile screen for long hours makes your eye sight weak and give you headaches
The following table gives the monthly consumption of electricity of 100 families
In an A.P, if $ S_{n} = 3n^2 + 5n $ and $ a_k = 164 $
From the top of a 7 m high building, the angle of elevation of the top
The shadow of a tower standing on a level ground is found to be 40 m
Two concentric circles with centre O are of radii 3 cm and 5 cm
Find the area of the sector of a circle of radius 7 cm
A die is rolled once. Find the probability of getting
Find the values of a and b for which the system of linear equations
A lending library has a fixed charge for first three days
Prove that $ \frac{1 + tan^2 A}{1 + cot^2 A} = sec^2A -1 $
Find the zeroes of the quadratic polynomial $ x^2 + 6x + 8 $
In the adjoining figure, A, B and C are points on OP, OQ and OR
In the adjoining figure, PT is a tangent at T to the circle with centre O. If $ \angle TPO = 30^o $, find the value of x
Find the roots of the quadratic equation $x^2 − x − 2 = 0 $
Find the discriminant of the quadratic equation $3x^2 -2x + \frac{1}{3} = 0$ and hence find the nature of its roots
Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2 : 3
If $ \sin\alpha = \frac{1}{2} $, then find the value of $ 3 \cos \alpha − 4 cos^3 \alpha $
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