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For What Value of K, the Equation `Kx^2-6x2=0` Has Real Roots? (A) `K≤-9/2` (B)`K≥-9/2` (C)` K≤-2` (D) None of These - Mathematics

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प्रश्न

For what value of k, the equation `kx^2-6x2=0` has real roots?  

(a) `k≤-9/2`                     (b)`k≥-9/2` 

(c)` k≤-2`                         (d)  None of these 

उत्तर

(b) `k≥-9/2` 

It is given that the roots of the equation `(kx^2-6x-2=0)` are real 

∴` D≥0` 

⇒`(b^2-4ac)≥0` 

⇒`(-6)^2-4xxkxx(-2)≥0` 

⇒`36+8k≥0` 

⇒`k≥-36/8` 

⇒`k≥-9/2` 

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अध्याय 10: Quadratic Equations - Exercises 6

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 10 Quadratic Equations
Exercises 6 | Q 27

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