HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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"`

Find `("d"^2"y")/"dx"^2`, if y = `"x"^5`

Find `("d"^2"y")/"dx"^2`, if y = `"x"^-7`

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

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

Find `("d"^2"y")/"dx"^2`, if y = `"e"^((2"x" + 1))`.

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

Find `("d"^2"y")/"dx"^2`, if y = 2at, x = at²

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

If x² + 6xy + y² = 10, then show that `("d"^2y)/("d"x^2) = 80/(3x + y)^3`

If ax² + 2hxy + by² = 0, then show that `("d"^2"y")/"dx"^2` = 0

For bivariate data. `bar x = 53`, `bar y = 28`, b_yx = −1.2, b_xy = −0.3. Find the correlation coefficient between x and y.

For bivariate data. `bar x = 53, bar y = 28, "b"_"YX" = - 1.2, "b"_"XY" = - 0.3` Find estimate of Y for X = 50.