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$A ray of light travels from medium A to medium B. Refractive index of the medium B relative to..$

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class 10 maths important formulae

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC...

If tan(A +B) = √3 and tan(A - B) = 1/√3find A and B.

A train travels 360 Km at a uniform speed. If the speed had been 5 km/h more, it would have taken...

Ritu can row downstream 20 Km in 2 hours and upstream 4 Km in 2 hours. Find her speed of rowing...

Prove that : (cot theta + cosec theta - 1)/(cot theta - cosec theta + 1) = (1 + cos theta)/sin theta

If tan 2A = cot (A - 18⁰), where 2A is an acute angle, find the value of A.

In triangle ABC, AD is perpendicular to BC, such that AD² = BD × CD. Prove thar triangle ABC is.....

OABC is a square of side 7cm. OAC is a quadrant of a circle with O as centre. The area of shaded....

On a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the....

DE is parallel to BC. Find EC.

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord.

Common tangents AB and CD to two circles intersect at E. Prove that AB = CD.

AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD.

Asha is 2 years greater than the square of her daughter Nisha's age. When Nisha grows to.....

The following data gives the distribution of total monthly household expenditure of 200 families...

PQ is perpendicular to PS, PQ is parallel to SR, angle SQR = 28⁰ and angle QRT = 65⁰, then find...

Angle X = 62⁰, angle XYZ = 54⁰. If YO and ZO are the bisectors of angle XYZ and angle XZY...

The image of a candle flame formed by a lens is obtained by a screen placed on the other side of...

A ray of light travels from medium A to medium B. Refractive index of the medium B relative to..

A long-sighted person cannot see objects clearly at a distance less than 40 cm from his eye....

An object is placed between two plane mirrors inclined at an angle to each other. If the number..

A figure divided into squares each of size 1 mm² is being viewed at a distance of 9 cm through a...

If 0.254 expressed as p/q (HCF of p, q is 1) then the value of (p + q) is _____.

The far point of a myopic eye is 1.5 m. To correct this defect of the eye, the power of lens is ___.

The real image of an extended object placed in fromt of a concave mirror is formed at a distance...

If x,y,z,t denote object distance, image distance, focal length and radius of curvature in case of..

A plot of land in the form of a rectangle has a dimension 240 m × 180 m. A drainlet 10 m wide....

Garima purchased a briefcase with an additional 10% discount on the reduced price after deducting...

Diagonals of a trapezium PQRS intersect each other at O, PQ is parallel to RS and PQ = 3 RS....

If angle 1 = angle 2 and triangle NSQ is congruent to triangle MTR, then prove that...

Find value of x for which DE is parallel to AB.

The corresponding sides of two similar triangles ABC and DEF are BC= 9.1 cm and EF= 6.5 cm.....

The perimeters of two similar triangles ABC and PQR are 32cm and 24cm respectively. If PQ=12cm..

If triangle ABC is similar to triangle DEF, AB = 4cm, DE = 6cm, EF = 9cm and FD = 12 cm, find the..

Find the altitude of an equilateral triangle of side 8 cm.

ABC is a triangle in which AB=AC. If D and E are points on AB and AC such that AD= AE, show that...

Triangles ABC and DBC lie on the same side of BC. From a point P on BC, PQ||AB and PR||BD are.....

15% of 400 students are not good in mathematics. How many are good in mathematics?

Find the value of (2020)² - (2019)²

One third of the boys and one half of the girls of a college participated in a social work.....

If 2.5252525.... = p/q, (in the lowest form), what is the value of q/p?

The distance of the point P(-6,8) from the origin is....

The distance between the points A(0,6) and B(0,-2) is....

The distance of the point P(2,3) from the x-axis is...

Prove and determine the trigonometric ratios of complementary angles.

Prove the following trigonometric identities....

If sin theta + cos theta = root 3, then prove that tan theta + cot theta = 1.

Given that a + b = 90⁰, show that (cos a * cosec b - cos a * sin b)½ = sin a.

The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is

Two dice are thrown at the same time. Find the probability of getting.....

Someone is asked to take a number from 1 to 100. The probability that it's a prime is _____.

Find the value of x^(a²+b²+ ab) + x^(b²+c²+bc) + x^(c²+a²+ca).

The best selling book at Looky Books was Nightly Storms. The bookstore had 800 copies of the book..

A chemist has m gm of salt solution that is m% salty.How many grams of salt must he add to make...

A chemist has m gm of salt solution that is m% salty.How many grams of salt must he add to make....

Derive the quadratic formula.

If 1 + 3sin² theta = 3sin theta × cos theta, prove that tan theta = 1 or 1/2.

If sin theta = a/b then prove that (sec theta + tan theta) = [(b+a)/(b-a)]½