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Class 10
>>Maths
>>Quadratic Equations
>>Nature of Roots
>>Find the value(s) of k if the equation (
Question
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Find the value(s) of k if the equation (k+1)x
2
−2(k−1)x+1=0 has real and equal roots.
This question has multiple correct options
Medium
Solution
verified
Verified by Toppr
Correct options are A) and C)
The given equation is
(k+1)x
−2(k−1)x+1=0
comparing it with ax
+bx+c=0 we get
a=(k+1),b=−2(k−1) and c=1
∴ Discriminant,
D=b
−4ac=4(k−1)
−4(k+1)×1
=4(k
−2k+1)−4k−4
⇒4k
−8k+4−4k−4=4k
−12k
Since roots are real and equal, so
D=0⇒4k
−12k=0⇒4k(k−3)=0
⇒ either k=0 or k−3=0⇒4k(k−3)=0
Hence, k=0,3.
Answer:
k-l)²+(l-2)² = 0
k^l +l^k =mol^-1
R= 8.314 J K^-1
1.6 x 10^6 s^-1
Ea= 0
k^l +l^k
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Verified answer
Step-by-step explanation:
search-icon-header
Search for questions & chapters
search-icon-image
Class 10
>>Maths
>>Quadratic Equations
>>Nature of Roots
>>Find the value(s) of k if the equation (
Question
Bookmark
Find the value(s) of k if the equation (k+1)x
2
−2(k−1)x+1=0 has real and equal roots.
This question has multiple correct options
Medium
Solution
verified
Verified by Toppr
Correct options are A) and C)
The given equation is
(k+1)x
2
−2(k−1)x+1=0
comparing it with ax
2
+bx+c=0 we get
a=(k+1),b=−2(k−1) and c=1
∴ Discriminant,
D=b
2
−4ac=4(k−1)
2
−4(k+1)×1
=4(k
2
−2k+1)−4k−4
⇒4k
2
−8k+4−4k−4=4k
2
−12k
Since roots are real and equal, so
D=0⇒4k
2
−12k=0⇒4k(k−3)=0
⇒ either k=0 or k−3=0⇒4k(k−3)=0
Hence, k=0,3.
Answer:
k-l)²+(l-2)² = 0
k^l +l^k =mol^-1
R= 8.314 J K^-1
1.6 x 10^6 s^-1
Ea= 0
k-l)²+(l-2)² = 0
k^l +l^k