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BITSAT 2013 Solved Question Paper
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© examsnet.com
Question : 97
Total: 150
If the line 2x – 3y = k touches the parabola
y
2
= 6x, then find the value of k.
–15/4
–27/4
–1/4
–3/4
Validate
Solution:
Given x =
3
y
+
k
2
... (i)
and
y
2
= 6x ... (ii)
⇒
y
2
6
(
3
y
+
k
2
)
⇒
y
2
= 3 (3y + k) ⇒
y
2
- 9y - 3k 0 ... (iii)
If line (1) touches parabola (2) then roots of quadratic equation (3) is equal
∴
(
−
8
)
2
- 4 × 1 × (-3k) ⇒ k = - 27/4
© examsnet.com
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