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Question : 47 of 160
Marks:
+1,
-0
Solution:
Equation
ax2−4xy−2y2=0 represents pair of lines.
Also,
cos‌θ=‌⇒tan‌θ=2√6∵tan‌θ=‌2√6=‌Squaring both sides,
‌(a−2)2⋅6=4+2a⇒‌(a−2)2⋅3=2+a⇒‌‌3a2−12a+12=2+a⇒‌‌3a2−13a+10=0⇒‌‌(3a−10)(a−1)=0‌a=1,‌As
a2>a1a1=1,a2=‌‌∴‌‌a1+3a2=11
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