AP EAMCET · Maths · Pair of Lines
If the slope of one of the lines represented by be the square of the other, then is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
ax2+2hxy+by2=0 Let the slopes of the lines represented be m, m2 ∴ m+m2=-2hb and mm2=ab ⇒ m3=ab Now, m1+m=-2hb On cubing both sides, we get m31+m3+3m1+m=-8h3b3 ⇒ab1+ab+3-2hb=-8h3b3 ⇒b+ab-6hb=-8h3ab2 ⇒b+a+8h3ab=6h…
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