Q.
If from P(4,4) perpendiculars to the straight lines 3x+4y+5=0 and y=mx+7 meet at Q and R and area of triangle PQR is maximum, then m is equal to
see full answer
Want to Fund your own JEE / NEET / Foundation preparation ??
Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya
a
4/3
b
−3/4
c
−1
d
1
answer is A.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
since PQ is of fixed lengtharea of ΔPQR=12|PQ||RP|sinθThis will be maximum if sinθ=1&RP is maximum.Since line y=mx+7 rotates about(0,7) , if PR' is perpendicular to the line than PR’ is maximum value of PR.∴m=−(4−04−7)=43.
Watch 3-min video & get full concept clarity