Commerce (English Medium) Class 11 - CBSE Question Bank Solutions

If `lim_(x -> 1) (x^4 - 1)/(x - 1) = lim_(x -> k) (x^3 - l^3)/(x^2 - k^2)`, then find the value of k.

`1/(ax^2 + bx + c)`

Let `f(x) = {{:((k cos x)/(pi - 2x)",", "when"  x ≠ pi/2),(3",", x = pi/2  "and if"  f(x) = f(pi/2)):}` find the value of k.

If `f(x) = {{:(x + 2",",  x ≤ - 1),(cx^2",", x > -1):}`, find 'c' if `lim_(x -> -1) f(x)` exists

Show that the following statement is true.
p: For any real numbers x, y if x = y, then 2x + a = 2y + a when a ∈ Z.

Which of the following is the converse of the statement?
“If Billu secure good marks, then he will get a bicycle.”

Write down the contrapositive of the following statements:

If x = y and y = 3, then x = 3.

Write down the contrapositive of the following statements:

If n is a natural number, then n is an integer.

Write down the contrapositive of the following statements:

If all three sides of a triangle are equal, then the triangle is equilateral.

Write down the contrapositive of the following statements:

If x and y are negative integers, then xy is positive.

Write down the contrapositive of the following statements:

If natural number n is divisible by 6, then n is divisible by 2 and 3.

Write down the contrapositive of the following statements:

If it snows, then the weather will be cold.

Write down the contrapositive of the following statements:

If x is a real number such that 0 < x < 1, then x² < 1.

Write down the converse of following statements:

If a rectangle ‘R’ is a square, then R is a rhombus.

Write down the converse of following statements:

If today is Monday, then tomorrow is Tuesday.

Write down the converse of following statements:

If you go to Agra, then you must visit Taj Mahal.

Write down the converse of following statements:

If the sum of squares of two sides of a triangle is equal to the square of third side of a triangle, then the triangle is right-angled.

Write down the converse of following statements:

If all three angles of a triangle are equal, then the triangle is equilateral.

Write down the converse of following statements:

If x : y = 3 : 2, then 2x = 3y.

Write down the converse of following statements:

If S is a cyclic quadrilateral, then the opposite angles of S are supplementary