WORKSHEET ON QUADRATIC EQUATIONS CLASS 10 CBSE

Worksheet on Quadratic Equations Class 10 CBSE :

Here we are going to see some practice questions based on the topic quadratic equation.

Worksheet on Quadratic Equations Class 10 CBSE - Practice questions

(1)  If x = 2 and x = 3 are the roots of the equation 3x2 - 2kx + 2m  =  0, find the value of k and m.

(2)  If one root of the quadratic equation 2x2 + kx - 6  =  0, find the value of k. Also find the other root.

(3)  Solve the following quadratic equation by factorization method

(i)

(ii)  4x2 - 2(a2 + b2)x + a2b2  =  0

(iii)  (2/x2) - (5/x) + 2  =  0

(iv)  [1/(x - 2)] + [2/(x - 1)]  =  6/x

(4)  Determine whether the given quadratic equation has real roots and if so, find the roots.

6x2 + x - 2  =  0

(5)  Find the values of k for which the given equation has real and equal roots.

x2 - 2x(1 + 3k) + 7(3 + 2k)  =  0

(6)  Find the values o f k for which the following equation has equal roots.

(k - 12)x2 + 2(k - 12) + 2  =  0

(7)  The sum of two numbers is 15. If the sum of the their reciprocals is 3/10, find the numbers.

(8)  Find two consecutive numbers whose squares have the sum 85.

(9)  Two numbers differ by 3 and their product is 504. Find the numbers.

(10)  The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.

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