HSC Science (Electronics) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

Select and write the correct alternative from the given option for the question 

The solutiion of `("d"y)/("d"x) + x^2/y^2` = 0 is

Find the differential equation of family of lines making equal intercepts on coordinate axes

Find the general solution of `("d"y)/("d"x) = (1 + y^2)/(1 + x^2)`

Form the differential equation of family of standard circle

Form the differential equation of y = (c₁ + c₂)e^x 

Find the differential equation of family of all ellipse whose major axis is twice the minor axis

Find the differential equation by eliminating arbitrary constants from the relation x² + y² = 2ax

Find the differential equation by eliminating arbitrary constants from the relation y = (c₁ + c₂x)e^x 

Verify y = log x + c is the solution of differential equation `x ("d"^2y)/("d"x^2) + ("d"y)/("d"x)` = 0

Find the differential equation from the relation x² + 4y² = 4b² 

Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x-axis

Find the value of k. if 2x + y = 0 is one of the lines represented by 3x² + kxy + 2y² = 0

Find the cartesian co-ordinates of the point whose polar co-ordinates are `(1/2, π/3)`.

Form the differential equation of all lines which makes intercept 3 on x-axis.

Solve the following system of equations by the method of inversion.

x – y + z = 4, 2x + y – 3z = 0, x + y + z = 2

Solve the following differential equation:

`xsin(y/x)dy = [ysin(y/x) - x]dx`

(x² – y²)dx + 2xy dy = 0

`int cos^3x  dx` = ______.

Write `int cotx  dx`.

Find the length of the perpendicular drawn from the point P(3, 2, 1) to the line `overliner = (7hati + 7hatj + 6hatk) + λ(-2hati + 2hatj + 3hatk)`