The India meteorological department observes seasonal and annual rainfall every year in different

A school is organizing a grand cultural event to show the talent of its students.To accommodate the

A street shopkeeper prepares 396 gulab jamun and 342 rasgullas. He packs them in combination each

A TV tower stands vertically on a bank of canal. From a point on the other bank directly opposite

Determine the values of m and n if equations have infinite solutions: (2m-1)x+3y-5=0, 3x+(n-1)y-2=0

If cosec theta - sin theta = l and sec theta - cos theta = m, prove that l^2m^2(l^2 + m^2 + 3)=1

Determine the value of k so that the equations (3k+1)x+3y=2, (k^2+1)x+(k-2)y=5 have no solutions

In a flight of 2800 km an aircraft was slowed down due to bad weather. Its average speed for the

A shafts carries four masses A, B, C and D of magnitude 200 kg, 300 kg, 400kg and 200 kg

Find the zeroes of the polynomial y^2+3/2√5y-5 by factorisation method and verify the relationship

Given that sinθ+cosθ=x, prove that sin^4θ+cos^4θ=2-(x^2-1)^2/2 / Given that sin theta+cos theta =x

There are three consecutive integers such that the square of the first increased by the product of

Balancing of masses rotating in different planes (without angle) / Balancing of masses by graphical

Prove that -7-2 root 3 is an irrational number / Prove that -7-2√3 is an irrational number

Prove that (cosA-sinA+1)(cosA+sinA-1)=cosecA+cotA / Trigonometry Maths

The sum of first 9 terms of an AP is 162.The ratio of its 6th term to its 13th term is 1:2.Find 15th

How to find the centroid of composite shapes / Statics

Solve the following quadratic equations using quadratic formula mnx^2-(m+n)^3x+(m+n)^2=0

If one zeros of the polynomial 2x^2-4kx+8x-7 is negative of the other, find zeroes of polynomial

Two ships are sailing in the sea on either side of a lighthouse.The angles of depression to the two

In a garden, saplings of rose flowers were planted at equal intervals to form a spiral pattern.

Prove that tan theta/1-cot theta+cot theta/1-tan theta=1+sec theta cosec theta / Trigonometry Maths

Differentiate log x power + x power log x / Differentiation of (log x)^x+x^(log x) / Derivative

Integral of 0 to pi xsinx/(1+cos^2x)dx / Integrate 0 to pi xsinx/(1+cos^2x)dx / Integration

If y=(tan^-1x)^2 show that (x^2+1)^2 d^2y/dx^2+2x(1+x^2)dy/dx=2 / Differentiation / Calculus

Integration of cot inverse (1-x+x^2)dx from 0 to 1 / Integral 0 to 1 of cot^-1(1-x+x^2)dx

Solve the differential equation dy/dx-3y cotx=sin2x given y=2 when x=pi/2 / Differentiation

Integral of x^3/(x^4+3x^2+2)dx / Integral of x cube/x power 4+3xsquare+2 / Integration

If (x-y)e^(x/x-y) =a,prove that ydy/dx+x=y /Differentiation / Calculus

Integrate 0 to pi/2 of 1/(2cosx+4sinx)dx / Integration / Class 12 Maths

If x=a(cost+log tan t/2) and y= asint find d^2y/dx^2 / Differentiation

Ankit visited in a mall with his father.He sees that three shops are situated at P, Q and R as shown

Find the ratio in which the point(8/5,y) divides the line segment joining the points (1,2) and (2,3)

If x=(√3-√2)/(√3+√2) and y=(√3+√2)/(√3-√2) then find the value of x^2+xy+y^2 / Class 9 Maths

Integrate (cos theta)/((4+sin^2 theta)(5-4cos^2 theta)dtheta / Integral cosθ/((4+sin^2θ)(5-4cos^2θ)

A 5 cm tall object is placed at a distance of 30 cm from a convex mirror of focal length 15 cm

An object is placed 18 cm in front of mirror.If the image is formed at 4 cm to the right of the

An object is placed at a distance of 30 cm in front of a convex mirror of focal length 15 cm.

An arrow 2.5 cm high is placed at a distance of 25 cm from a diverging mirror of focal length 20 cm

The total current supplied to the circuit by the battery is

When an object is placed at a distance of 20 cm before a concave mirror. A real image is obtained

How to find equivalent resistance across the two ends A & B / Series and Parallel Circuits Problems

If zeroes α and β of a polynomial x^2-7x+k are such that α-β=1,then find the value of k

The minimum age of children eligible to participate in a painting competition is 8 years.

Passenger boarding stair,sometimes referred to as boarding ramps,stair cars or aircraft steps

A skilled carpenter decided to craft a special rolling pin for the local baker. He carefully joined

India gate (formerly known as All India war memorial) is located near Karthavya path

In order to provide shelter to flood victims, a shed was constructed using tin sheets which is

A school plans to install a new flagpole in the playground.To determine the ideal height

A gardener wants to construct a flowerbed in his garden.He has 100 flower pots and plants

Find int(1/x)√((x+a)/(x-a))dx / Integral of 1/x * sqrt((x+a)(x-a)) dx / Integration / Class 12 Maths

If α and β are zeroes of a quadratic polynomial px^2+qx+1.Form a quadratic polynomial whose zeroes

In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O.If ∠OPQ=15° & ∠PTQ=θ

If the zeroes of the polynomial x^2+ax+b are in the ratio 3:4,then prove that 12a^2-49b

Three consecutive integers are such that sum of the square of second and product of the other two

If cotθ+cosθ=p and cotθ-cosθ=q prove that p²-q²= 4√pq / cot theta+cos theta=p,cot theta-cos theta=q

Khushi wants to organize her birthday party.Being health conscious,she decided to serve only fruits

Integral of 0 to π/4 (root tanx+root cot x) / Integrate 0 to π/4 root tanx+root cotx /√tanx + √cotx

Cable cars at hill stations are one of the major tourist attractions.On a hill station, the length

Prove that (3-4root2)/7 is an irrational number / Real Numbers Class 10 Important Question