(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

Solve the following quadratic equation using formula method only 

25x² + 30x + 7 = 0

Solve the following quadratic equation using formula method only 

16x² - 24x = 1

Solve the following quadratic equation using formula method only 

`3"x"^2 +2 sqrt 5 "x" -5 = 0`

Solve the following quadratic equation using formula method only 

3x² + 12 = 32 x

Solve the following quadratic equation using formula method only 

`"x"^2 + 1/2 "x" = 3`

Solve the following quadratic equation using formula method only 

`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`

Solve the following quadratic equation using formula method only

`2"x"^2- 2 sqrt 6 + 3 = 0`

Solve the following quadratic equation using formula method only 

 3a²x² +8abx + 4b² = 0, a ≠ 0 

Solve the following quadratic equation using formula method only

`"x"^2 + 1/2 "x" - 1 = 0`

Solve the following quadratic equation using formula method only

`"x"^2 - 4 sqrt 15 "x" - 4 = 0`

Find the values of a and b in the polynomial f(x) = 2x³ + ax² + bx + 10, if it is exactly divisible by (x+2) and (2x-1).

Find the value of m for which the equation (m + 4)x² + (m + 1)x + 1 = 0 has real and equal roots.

Find the value of k for which equation 4x² + 8x – k = 0 has real roots.

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist

3x² – 5x + 2 = 0

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist

x² + 4x + 5 = 0

In the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠MRS = 29°. Calculate : ∠NRM

In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠EAB = 63°. Calculate : ∠BCD. 

In the given figure, AB is a diameter of the circle with centre O. DO is parallel to CB and ∠DCB = 120°. 

Calculate : ∠DBA 

Also, show that the ΔAOD is an equilateral triangle.

In the given figure, AB is a diameter of the circle with centre O. DO is parallel to CB and ∠DCB = 120°. 

Calculate : ∠DBC 

Also, show that the ΔAOD is an equilateral triangle.

In the given figure, AB is a diameter of the circle with centre O. DO is parallel to CB and ∠DCB = 120°. 

Calculate: ∠ADC 

Also, show that the ΔAOD is an equilateral triangle.