If cot theta+tan theta=x and sec theta -cos theta=y. Prove that (x^2y)^2/3-(xy^2)^2/3=1 Trigonometry

While designing the school year book a teacher asked the student that the length and width

Three cubes of a metal whose edges are in the ratio 3:4:5 are melted down into a single cube

Vijay invested a certain amount of money in two schemes A and B which offer interest at the rate of

Rationalising the denominator with 3 terms / Rationalise 3/√7+√6-√2 / Rationalisation /Number System

If α and β are the zeroes of the quadratic polynomial f(x)=x^2-1, find a polynomial 2α/β and 2β/α

SFD and BMD for Simply Supported beam (udl and point load) / How to draw SFD and BMD

In an AP of 50 terms, the sum of the first 10 terms is 210 and the sum of its last 15 terms is 2565

If cosec theta -sin theta=a^3 and sec theta -cos theta=b^3 prove that a^2b^2(a^2+b^2)=1 Trigonometry

If x=(2+root5)^1/2 + (2-root5)^1/2 and y=(2+root5)^1/2 - (2-root5)^1/2 then evaluate x^2+y^2

Prove that 1/(3+2 root2) is irrational number / Prove that 1/3+2√2 irrational number / Real Numbers

Evaluate ∫log(2+x^2)dx  / Integral of log(2+x^2)dx / Integration / Class 12 Maths

The angle of elevation of the top of a tower at a point on the ground is 30° / Class 10 Maths

If alpha and beta are the zeros of polynomial f(x) =x^2-3x-30. Find a polynomial 2-alpha & 2-beta

If x^my^n=(x+y)^(m+n) prove that dy/dx=y/x and d^2y/dx^2=0 / Calculus / Derivative / Differentiation

Prove that 2(sin^6A+cos^6A)-3(sin^4A+cos^4A)+1=0 / Trigonometry / Class 10 Maths

A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it.

How to find equivalent resistance in wheatstone bridge circuit / Balanced Circuit

Probability of Rolling Dice / Probability Problems Based on Dice

Solve the quadratic equation by factorisation a/(x-a)+b/(x-b)=2c/(x-c)

Surds Rationalise the Denominator / If (2√5+√3)/(2√5-√3)+(2√5-√3)/(2√5+√3)=a+b√15 Find a and b

How to draw shear force and bending moment diagrams in strength of materials / Simply Supported Beam

Equilibrium in Engineering / Two Spheres Problem / Free Body Diagram / Engineering Mechanics

Two circular pieces of equal radii and maximum area touching each other are cut out from a

A timber beam of rectangular section is to support / Bending Stresses in Beams / Bending Equation

The sum of the first three terms of an AP is 48. If the product of the first and second terms

Find the difference of the areas of two segments of a circle formed by a chord of length 5 cm

If y=log(x+√x^2+1) then prove that (x^2+1)(d^2y)/(dx^2)+xdy/dx=0 / 2nd Order Derivates

Prove that 5+2√7 is an irrational number / Show that 5+2√7 is an irrational number / Real Numbers

On a Sunday your parents took you to a fai / Case Study / Surface Areas and Volumes / Class 10 Maths

Evaluate Integral 0 to π/2 x/(sinx+cosx)dx / Integral 0 to pi/2 x/(sinx+cosx)dx / Integration

If α and β are roots of the equation x^2-5x+3(k-1)=0 are such that α-β=1.Find the value of k.

Prove that sin theta / 1-cos theta=cosec theta+cot theta / tan theta+sin theta / tan theta-sin theta

A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder of same diameter.

If A(-3,5),B(-1,1) and C(3,3) are the vertices of a triangle ABC,find the length of the median AD.

In an A.P of 40 terms the sum of first 9 terms is 153 and the sum of last 6 terms is 687.Determine

A group consists of 12 peoples of which 3 are extremely patient, other 6 are extremely / Probability

An aeroplane at an altitude of 250 m observes the angles of depression of two boats on the opposite

Rationalising the denominator with 3 terms / Rationalize 1/(√2+√3+√10) / 1/(root2+root3+root10)

Differentiate log root((1-cosx)(1+cosx)) Find dy/dx / Differentiate log⁡√((1-cos⁡x)/(1+cos⁡x))

How to solve quadratic equation by factoring and by the quadratic formula 4x^2-4a^2x+(a^4-b^4)=0

Integral of 2x/(x^2+3)(x^2-5) / How to integrate it step by step / Class 12 Maths

A student has focused the image of an object of height 3 cm on a white screen using a concave mirror

Prove that (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(2sin^2A-1)=2/(1-2cos^2A) /Trigonometry

If α and β are the zeros of the quadratic polynomial f(x)=4x^2-5x-1. Find the value of α^2β+αβ^2

The ratio of the 11th term to 17th term of an A.P. is 3:4.Find the ratio of 5th term to 21st term

Water is flowing at the rate of 15km/hr through a pipe / Surface Areas and Volumes Class 10 Maths

If (8+√5)/(8-√5)+(8-√5)/(8+√5)=a+8√5b Find a and b / Rationalising the denominator / Surds

If y√(x^2+1) = log(√x^2+1)-x), show that (x^2+1)dy/dx+xy+1=0 / Differentiation Class 12 Maths

The school auditorium was to be constructed to accommodate at least 1500 people / Case Study

A circular field has a circumference of 360km. Three cyclist start together and can cycle 48,60,72km

Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours

Find the value of k such that the polynomial x^2-(k+6)x+2(2k-1) has sum of its zeros equal to half

If x=5-√21/2,prove that (x^3+1/x^3)-5(x^2+1/x^2)+(x+1/x)=0 / Class 9 Maths / RS Aggarwal

The sum of first three terms in an A.P. is 18.If the product of the first and third term is 5 times

Prove that (tan theta+sec theta-1)/(tan theta-sec theta+1) = (1+sin theta)/cos theta / Trigonometry

The discuss throw is an event in which an athlete attempts to throw a discuss. The athlete spins

A plane left 30 minutes late than it's scheduled time and in order to reach the destination 1500 km

The equivalent resistance between points A and B of the circuit given / Class 10 and 12th Physics

When an object is placed 20 cm from a concave mirror, a real image magnified four times is formed.