What minimum number should be multiplied to 180 so that it becomes a perfect square? Also find the square root of the perfect square thus obtained:

 

To find the equation of a straight line in terms of the length of perpendicular from the origin upon it and an angle which the perpendicular makes with positive direction of X-axis.

 

Find the equation of a line in intercept form.

 

Prove that two non vertical lines are perpendicular to eachother iff the product of their slopes is equal to -1.

 

How to find angle between two non vertical and non perpendicular lines?

 

Find the slope of a non vertical line passing through two different points.

 

What are horizontal,vertical and oblique lines?

Angle of inclination

 

Series solution of Bessel's differential equations.(B.Tech maths; MSc maths)

 

What is the relation in terms of ordered pairs?

 

Solve the differential equation y' = sqrt(2x - 1)

 

What is an ordered pair in mathematics?

 

Find the integration of (x)^1/3 w.r.t x.

 

How do you find the integral of 1/x ?

 

Solve the following system of equations using matrix method (2/x)+(3/y)+(10/z=4; (4/x)-(6/y)+(5/z)=1 and (6/x)+(9/y)-(20/z)=2. [ISC2011]

What is the value of x in (3x+5)(2x-4)²=56 ?

 

Find the derivative of sinx² with respect to x^3. [ISC2009]

 

If y=x√x, then find dy/dx.

 

Find the minors of the elements of a matrix A=[(1 3 2),(4 1 2),(2 2 5)].

 

If the matrix A=[(2,3),(5, -2)], then show that A^-1=(1/19)A. [ISC2004]

Some important definitions regarding matrices.

 

What is the method for solving an equation with a cube root in the denominator?

 

How do you solve lim x -> 2 (sqrt\{x - (6 - x ^ 2)\})/(x - 2)?

 

Find the general solution of the differential equation ye^ydx=(y^3+2xe^y)dy. (CBSE2020)

 

Solve the differential equation log(dy/dx)=2x-3y. (isc 2013)

 

Find the 20th term from the last term of3,8,13,- - - - ,253.(ncert)

 

An AP consists of 50 terms of which 3rd term is 12 and last term is 106.Find the 29th term. (ncert)

 

What is the hcf of 70, 105 and 175 ?

 

Geometrical progression, definition and formula.

 

Slope of a non vertical line.

 

Solve 1+4+7+10+ - - - - +x=287. (cbse 2020)

 

If log(x²+y²)=2tan^-1(x/y), then show that dy/dx=(x+y)/(x-y). (cbse2019)

 

Find general solution of first order ordinary differential equation.

 

Sumit is 3 times old as his son.Five years later, he will be two and a half times as old as his son. How old is Summit at present? (cbse 2019)

 

Find the sum of first 30 terms of A.P -30, -24, -18, - - - .(cbse 2022)