HSC Science (General) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the area of the region bounded by the curve x² = 12y, the Y−axis and the given lines y = 2, y = 4, x ≥ 0

Using integration, find the area of the region bounded by the line 2y + x = 8 , X−axis and the lines x = 2 and x = 4

Find the area of the region bounded by the parabola x² = 4y and The X-axis and the line x = 1, x = 4

Find the area of the region bounded by the parabola y² = 16x and the line x = 4

Find the area of the region bounded by the curves x² = 8y, y = 2, y = 4 and the Y-axis, lying in the first quadrant

Find the area of the region bounded by the curve y = sin x, the X−axis and the given lines x = − π, x = π

Find the area of the region bounded by the curves y² = 4ax and x² = 4ay

Find the area of the sector bounded by the circle x²+ y² = 16, and the line y = x in the first quadrant

Find the area of the region bounded by the curve (y − 1)² = 4(x + 1) and the line y = (x − 1)

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

Solution of the equation `x  ("d"y)/("d"x)` = y log y is

The general solution of `(dy)/(dx)` = e^−x is ______.

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

General solution of `y - x ("d"y)/("d"x)` = 0 is

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

The solution of `("d"y)/("d"x)` = 1 is

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