English Medium Class 9 - CBSE Question Bank Solutions

The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is ______.

The area of an equilateral triangle with side `2sqrt(3)` cm is ______.

The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm² is ______.

If the area of an equilateral triangle is `16sqrt(3)` cm², then the perimeter of the triangle is ______.

The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude ______.

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is ______.

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is ______.

The area of the equilateral triangle is `20sqrt(3)` cm² whose each side is 8 cm.

The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side a.

In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the altitude is 10.25 cm corresponding to the side having length 12 cm.

Visualise 3.765 on the number line, using successive magnification.

Visualise `4.bar26`  on the number line, up to 4 decimal places.

Determine the following polynomial has (x + 1) a factor:

x³ + x² + x + 1

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:

p(x) = 2x³ + x² – 2x – 1, g(x) = x + 1

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:

p(x) = x³ + 3x² + 3x + 1, g(x) = x + 2

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:

p(x) = x³ − 4x² + x + 6, g(x) = x − 3

Find the value of k, if x – 1 is a factor of p(x) in the following case:

p(x) = x² + x + k

Find the value of k, if x – 1 is a factor of p(x) in the following case:

p(x) = `2x^2+kx+sqrt2`

Find the value of k, if x – 1 is a factor of p(x) in the following case:

p(x) = `kx^2 - sqrt2x +1`

Find the value of k, if x – 1 is a factor of p(x) in the following case:

p(x) = kx² – 3x + k