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
hey i have few questions that i didnt know how to approach
1. A and B are two points(3,4)and(5,-2).Find the co-ordinates of a point such that PA=PB and area of triangle PAB=10
2.Find the equation of the path of a point such that the sum of its distances from the points(0,3)and(0,-3)is 8
3.Find the ratio in which the line segment joining the points (2,3)and (4,5) is divided by the line joining the points (6,8) and (-3,-2)
4.Find the equation of the bisector of angle A of the triangle whose vertices are A(4,3) B(0,0) and C(2,3)
5.Through the point P(3,-5) a line is drawn inclined at 45degree with the positive x-axis.It meets the line x+y-6=0 at the point Q.Find the length PQ
Dear student,
Let co-ordinates of P be (), then
PA=PBPA2=PB2
(−1)2+(−2)2=(−3)2+(−8)2
−2+1−4+4=−6+9−16+64
4+12=68+3=17 ...(i)
Also area of PAB=10
21 (2+8+3)−(+6+8=10
−6+2+2=20−3++1=10
−3++1=10or -10
−3+=9 ...(ii) or −3+=−11 ...(iii)
Solving (i) and (ii), we get | Solving (i) and (iii), we get
=−1=6 | =5=4
Hence the points is either (-1,6) or (5,4).
Area of the quadrilateral formed by the given points
=21 (−35+4+4−6)−(−8−7+3+20)
=21−33−8=21−41
=142 square units.
Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation. All the best. Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian. Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar.. Askiitians Expert Sagar Singh B.Tech, IIT Delhi
Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.
All the best.
Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.
Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar..
Askiitians Expert
Sagar Singh
B.Tech, IIT Delhi
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 !