Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Let L1=0, L2=0 and L3=0 are three given lines .A variable line is drawn through the origin to cut the lines at A, B, and C, respectively. If P is a point on variable line in such a way that,
7/OP=1/OA+2/OB+4/OC , then find the locus of P.
let the three lines be y=m1x +c1, y=m2x +c2 and y=m3x +c3. Let variable line be y=mx. A=(c1/(m-m1),mc1/(m-m1)),
B= (c2/(m-m2),mc2/(m-m3)), and C=(c3/(m-m3),mc3/(m-m3)),. let P=(x,y)=(x,mx)
OP=√(x2(1+m2)), 1/OA= (m-m1)/c1(√(1+m2)), 2/OB= 2(m-m2)/c2(√(1+m2)) and 4/OC = 4(m-m3)/c3(√(1+m2))
Therefore,P is given by y(1/c1 +2/c2 + 4/c3) = 7 + x(m1/c1 +2m2/c2 +4m3/c3)
Win exciting gifts by answering the questions on Discussion Forum.'
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !