Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

The equation of the circle having centre (1, –2) and passing through the point of intersection of the lines 3x + y = 14 and 2x + 5y = 18 is ______.

The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes through the points (–3, 1) and (2, –2) is ______.

The equation of the circle which passes through the point (4, 5) and has its centre at (2, 2) is ______.

If the lines 3x – 4y + 4 = 0 and 6x – 8y – 7 = 0 are tangents to a circle, then find the radius of the circle.

Find the equation of a circle which touches both the axes and the line 3x – 4y + 8 = 0 and lies in the third quadrant.

Find the distance between the directrices of the ellipse `x^2/36 + y^2/20` = 1

The shortest distance from the point (2, –7) to the circle x² + y² – 14x – 10y – 151 = 0 is equal to 5.

Draw appropriate Venn diagram for the following:

(A ∪ B)'

Draw appropriate Venn diagram for the following:

A' ∩ B'

Draw appropriate Venn diagram for the following:

(A ∩ B)'

Draw appropriate Venn diagram for the following:

A' ∪ B'

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

Find the derivative of x² – 2 at x = 10.

Find the derivative of 99x at x = 100.

Find the derivative of x at x = 1.

For the function

f(x) = `x^100/100 + x^99/99 + ...+ x^2/2 + x + 1`

Prove that f'(1) = 100 f'(0)

Find the derivative of `2x - 3/4`

Find the derivative of (5x³ + 3x – 1) (x – 1).

Find the derivative of x^–3 (5 + 3x).

Find the derivative of x⁵ (3 – 6x^–9).