AP EAMCET · Maths · Pair of Lines
The value of '' for which the equation represents a pair of straight lines, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given equation x2+pxy+y2-5x-7y+6=0 Will represent a pair of straight lines, if ∆=0 ⇒1⋅1⋅6+2-72-52p2-1-722-1-522-6p22=0 ⇒ 6+35p4-494-254-6p24=0 ⇒ 35p-50-6p2=0 ⇒ 2p-53p-10=0 ⇒ p=52,103
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