Home
Class 10
MATHS
Find the non-zero value of k for which t...

Find the non-zero value of `k` for which the quadratic equations `kx^2+1-2(k-1)x+x^2=0` has equal roots. Hence, find the roots of the equation

Text Solution

Verified by Experts

The correct Answer is:
x = -1, -1 or `x = (1)/(2), (1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • CBSE PAPER (12 MARCH 2020)

    EDUCART PUBLICATION|Exercise Set III (Section - D)|2 Videos

  • CBSE PAPER (12 MARCH 2020)

    EDUCART PUBLICATION|Exercise Set III (Section - B)|2 Videos

  • ARITHMETIC PROGRESSIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|44 Videos

  • CBSE TERM-1 SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Section -C|7 Videos

Similar Questions

Explore conceptually related problems

Find the value of k for which the quadratic equations (k+1)x^(2)+2(k-1)x+1=0 has equal roots

Find the value of k for which the quadratic equation (k+4)x^(2)+(k+1)x+1=0 has equal roots

Find the value of p for which the quadratic equation (p+1)x^(2)+-6(p+1)x+3(p+q)=0,p!=-1 has equal roots.Hence,find the roots of the equation.

Find the values of k for which the quadratic equation 9x^(2)-3kx+k=0 has equal roots.

Value(s) of k for which the quadratic equation 2x^(2)-kx+k=0 has equal roots is/are

Write the value of k for which the quadratic equation x^(2)-kx+4=0 has equal roots.

Find the value of k for which the quadratic equation k^(2)x^(2)-2(2k-1)x+4=0 has real and equal roots.

Determine the value of k for which the quadratic equation 4x^(2)-3kx+1=0 has equal roots :

What is the value of k for which the quadratic equation 3x^(2) - kx+ k = 0 has equal roots ?