HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Find the Cartesian equation of the plane passing through A(7, 8, 6)and parallel to XY plane

Find the Cartesian equation of the plane passing through the points A(1, 1, 2), B(0, 2, 3) C(4, 5, 6)

Find m, if the lines `(1 - x)/3 =(7y - 14)/(2"m") = (z - 3)/2` and `(7 - 7x)/(3"m") = (y - 5)/1 = (6 - z)/5` are at right angles

Find the Cartesian and vector equation of the line passing through the point having position vector `hat"i" + 2hat"j" + 3hat"k"` and perpendicular to vectors `hat"i" + hat"j" + hat"k"` and `2hat"i" - hat"j" + hat"k"`

Find vector equation of the plane passing through A(−2 ,7 ,5) and parallel to vectors `4hat"i"  - hat"j" + 3hat"k"` and `hat"i" + hat"j" + hat"k"`

Find the Cartesian and vector equation of the plane which makes intercepts 1, 1, 1 on the coordinate axes

`int (cos 2x)/(sin x + cos x)^2  "d"x`

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

The order and degree of `(("d"y)/("d"x))^3 - ("d"^3y)/("d"x^3) + y"e"^x` = 0 are respectively

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

The order and degree of `(1 + (("d"y)/("d"x))^3)^(2/3) = 8 ("d"^3y)/("d"x^3)` are respectively

State the degree of differential equation `e^((dy)/(dx)) + (dy)/(dx)` = x

c.d.f. of a discrete random variable X is

If X ~ B(6, p) and 2·P(X = 3) = P(X = 2), then find p.

The order and degree of `((dy)/(dx))^3 - (d^3y)/(dx^3) + ye^x` = 0 are ______.

Write the separate equations of lines represented by the equation 5x² – 9y² = 0

Write the degree of the differential equation (y''')² + 3(y") + 3xy' + 5y = 0

Find the principal solutions of cot θ = 0

Find the equation of tangent to the curve y = 2x³ – x² + 2 at `(1/2, 2)`.

If 2 tan^–1(cos x) = tan^–1(2 cosec x). then find the value of x.

Solve `x + y (dy)/(dx) = sec(x^2 + y^2)`

The order and degree of the differential equation `[1 + ((dy)/(dx))^3]^(2/3) = 8((d^3y)/(dx^3))` are respectively ______.