English Medium इयत्ता १० - CBSE Important Questions for Mathematics

A fraction becomes `1/3` when 2 is subtracted from the numerator and it becomes `1/2` when 1 is subtracted from the denominator. Find the fraction.

Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.

Solve the following quadratic equation for x: x² – 2ax – (4b² – a²) = 0

Solve for x : ` 2x^2+6sqrt3x-60=0`

Find the values of k for which the quadratic equation 9x² - 3kx + k = 0 has equal roots.

Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`

If -5 is a root of the quadratic equation 2x² + px – 15 = 0 and the quadratic equation p(x² + x)k = 0 has equal roots, find the value of k.

Solve for x

:`1/((x-1)(x-2))+1/((x-2)(x-3))=2/3` , x ≠ 1,2,3

Solve for x: `1/(x+1)+2/(x+2)=4/(x+4), `x ≠ -1, -2, -3

Solve for x

`(2x)/(x-3)+1/(2x+3)+(3x+9)/((x-3)(2x+3)) = 0, x!=3,`

Find x in terms of a, b and c: `a/(x-a)+b/(x-b)=(2c)/(x-c)`

Solve for x : `(x+1)/(x-1)+(x-1)/(x+2)=4-(2x+3)/(x-2);x!=1,-2,2`

Solve the following quadratic equation for x:

`x^2+(a/(a+b)+(a+b)/a)x+1=0`

Solve the equation `4/x-3=5/(2x+3); xne0,-3/2` for x .

Find the values of k for which the quadratic equation (k + 4) x² + (k + 1) x + 1 = 0 has equal roots. Also find these roots.

Find that value of p for which the quadratic equation (p + 1)x² − 6(p + 1)x + 3(p + 9) = 0, p ≠ − 1 has equal roots. Hence find the roots of the equation.

Solve the equation `3/(x+1)-1/2=2/(3x-1);xne-1,xne1/3,`

Solve the following quadratic equation for x :

9x² − 6b²x − (a⁴ − b⁴) = 0

Find the values of k for which the quadratic equation (3k + 1) x² + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.