Skip to content
Philoid
Browse Saved
Back to chapter
Maths
3. Polynomials
Home · Class 10 · Maths · Ref. Book · 3. Polynomials
Prev
Next
Q5 of 108 Page 46

If the roots of the quadratic equation x2 – kx + 4 = 0 are equal then the value of k will be:

x2 – kx + 4 = 0

When we compare the above quadratic equation with the generalized one we get,


ax2 + bx + c = 0


a = 1


b = -k


c = 4


Since the quadratic equations have real and equal roots,


b2 – 4ac = 0 for real and equal roots


⟹ (-k) 2 – (4 × 1 × 4) = 0


⟹ k2 – 16 = 0


⟹ k2 = 16


⟹ k= ± 4


So the correct answer is C [4].

More from this chapter

All 108 →
3

If one zero of the polynomial 2x2 + x + k is 3 then the value of k will be:

4

If α, β, are the zeroes of the polynomial x2 – p(x + 1) – c such that (α + 1) (β + 1) = 0 then the value of c will be:

6

If x = 1 is a common root of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0 then the value of ab will be:

7

The discriminant of the quadratic equation will be:

Questions · 108
3. Polynomials
1 1 1 1 1 1 2 2 2 2 2 2 3 1 1 1 1 2 2 2 3 3 3 4 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 5 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 5 1 1 1 1 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 19 19 20 21 21 22 23
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved