for what valu of k does kx2 - 6x-1 =0 have no real root
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Class 10
>>Maths
>>Quadratic Equations
>>Nature of Roots
>>For what value of k the equation kx^2 +
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For what value of k the equation kx
2
+6x+1=0 has equal roots?
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Correct option is A)
This is the form ax
2
+bx+c=0
Here a=k,b=6,c=1
Δ=b
2
−4ac
Since the roots are equal, discriminant=b
2
−4ac=0.
Therefore, (6)
2
−4×k×1=0
⇒36−4k=0
⇒4k=36
⇒ k=
4
36
=9
⇒ k=9
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