SSC (English Medium) 10th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Find the value of a, b, c in the following quadratic equation : 2x² ‒ x ‒ 3 = 0

Write the quadratic equation whose roots are ‒2 and ‒3.

Verify whether 1 is the root of the quadratic equation : `x^2+3x-4=0`

If one root of the quadratic equation kx² – 7x + 12 = 0 is 3, then find the value of k.

If α + β = 5 and α³ +β³ = 35, find the quadratic equation whose roots are α and β.

(x + 5)(x - 2) = 0, find the roots of this quadratic equation

Write the following quadratic equation in a standard form: 3x² =10x + 7.

If 12x +13y =29 and 13x +12y=21, find x + y.

The product of four consecutive natural numbers, which are multiples of fives, is Rs. 15,000. Find those natural numbers.

The time taken by a person to cover 150 km was 2 1/2 hours more than the time taken in the return journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per hour in each direction.

Find the values of a, b, c for the quadratic equation 2x₂ = x + 3 by comparing with standard form ax² + bx + c = 0.

Find the value of discriminant (Δ) for the quadratic equation: `x^2+7x+6=0`

Find the value of k for which the given simultaneous equations have infinitely many solutions:
kx + 4y = 10;
3x + 2y = 5.

State whether the given equation is quadratic or not. Give reason.

`5/4m^2 - 7 = 0`

Write any one solution of equation x + 2y = 7.

Find the value of x- y  if 4x + 3y = 25, 3x + 4y = 24

Solve the following quadratic equation by using formula method :

2x² - 3x = 2

A boat takes 10 hours to travel 30 km upstream and 44 km downstream, but it takes 13 hours to travel 40 km upstream and 55 km downstream. Find the speed of the boat in still water and the speed of the stream.

Complete the following activity to solve the simultaneous equations.
5x + 3y = 9 -----(I)
2x + 3y = 12 ----- (II)

Solve the following simultaneous equation.
3a + 5b = 26; a + 5b = 22