HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Important Questions

Negation of “Some men are animal” is ______.

Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”

If p ∨ q is true, then the truth value of ∼ p ∧ ∼ q is ______.

Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."

Draw Venn diagram for the following:

No policeman is thief

Draw Venn diagram for the following:

Some doctors are rich

Draw Venn diagram for the following:

Some students are not scholars

Conditional of p → q is equivalent to p → ∼ q.

Converse of the statement q `rightarrow` p is ______.

If x = a sin t and `y = a (cost+logtan(t/2))` ,find `((d^2y)/(dx^2))`

If x cos(a+y)= cosy then prove that `dy/dx=(cos^2(a+y)/sina)`

Hence show that `sina(d^2y)/(dx^2)+sin2(a+y)(dy)/dx=0`

Find `dy/dx if x^3 + y^2 + xy = 7`

Find `"dy"/"dx"` ; if x = sin³θ , y = cos³θ

Find `"dy"/"dx"` ; if y = cos^-1 `("2x" sqrt (1 - "x"^2))`

Differentiate e^{4x + 5} w.r..t.e^3x

If x⁷ . y⁹ = (x + y)¹⁶ then show that `"dy"/"dx" = "y"/"x"`

Find `(dy)/(dx) , "If"   x^3 + y^2 + xy = 10`

Find `(dy)/(dx)` if `y = sin^-1(sqrt(1-x^2))`

If `x^3y^5 = (x + y)^8` , then show that `(dy)/(dx) = y/x`

Differentiate tan^-1 (cot 2x) w.r.t.x.