MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Apurva Gupta Grade: 10
        

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


 

6 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Let co-ordinates of P be (), then


PA=PBPA2=PB2


(1)2+(2)2=(3)2+(8)2


2+14+4=6+916+64


 4+12=68+3=17           ...(i)


Also area of PAB=10


21 (2+8+3)(+6+8=10


6+2+2=203++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+46)(87+3+20)


=21338=2141


=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




















6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details