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

Express the truth of each of the following statements using Venn diagrams: 

(a) No circles are polygons

(b) Some quadratic equations have equal roots 

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

Express the truth of the following statements with the help of Venn diagram:
(a) No circles are polygon
(b) If a quadrilateral is rhombus , then it is a parallelogram .

Using the Venn diagram, examine the logical equivalence of the following statements: 

(a) Some politicians are actors.

(b) There are politicians who are actors.

(c) There are politicians who are not actors.

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

Express the truth of each of the following statements by Venn diagram :
(a) Some hardworking students are obedient.
(b) No circles are polygons.
(c) All teachers are scholars and scholars are teachers.

Express the truth of each of the following statements using Venn diagram.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram..

Represent the truth of the following statement by the Venn diagram.

Some hardworking students are obedient.

Represent the truth of the following statement by the Venn diagram.

No circles are polygons.

Represent the truth of the following statement by the Venn diagram.

All teachers are scholars and scholars are teachers.

Represent the truth of the following statement by the Venn diagram.

If a quadrilateral is a rhombus, then it is a parallelogram.

Draw a Venn diagram for the truth of the following statement.

Some share brokers are chartered accountants.

Draw a Venn diagram for the truth of the following statement.

No wicket keeper is bowler, in a cricket team.

Represent the following statement by the Venn diagram.

Some non-resident Indians are not rich.

Represent the following statement by the Venn diagram.

No circle is rectangle.

Represent the following statement by the Venn diagram.

If n is a prime number and n ≠ 2, then it is odd.

Express the truth of the following statement by the Venn diagram.

All men are mortal.

Express the truth of the following statement by the Venn diagram.

Some persons are not politician.

Express the truth of the following statement by the Venn diagram.

No child is an adult.

Find `("d"^2"y")/"dx"^2`, if y = `sqrt"x"`