derivation (trick) for the point of intersection of a pair of straight lines with a curve (in 2 degree)
                   

2 years ago

Share

Answers : (3)

                                        

S = ax2+by2+2gx+2fy+2hxy+c = 0


 


Partially differentiate S w.r.t x and y respectively.


 


2ax + 2g + 2hy = 0


ax+hy+g = 0     ...............(i)


 


2by + 2f + 2hx = 0


by + hx + f = 0    ..............(ii)


 


Solve (i) and (ii) for x and y.


 


(x,y) is the point of intersection.

2 years ago
                                        

Any similar method (generic) for intersection of two curves/ a curve and a line?

2 years ago
                                        

This method isnt actually to find the intersection of two curves. This is used to find the centre of the curve. Incase of pair of straight lines, it is infact, the point of their intersection. In ellipse and hyperbola, u get the center.

2 years ago

Post Your Answer

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
A straight line makes an intercept on the y-axis twice as long as that on the x-axis and is at a unit distance from the origin. Determine its equation.
 
 
Hello Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 4 months ago
 
intercept form: x/a+y/2a=1 on solving 2x+y=2a.......(1.) normal form: xcos(m)+ysin(m)=1.........(2.) now adjust eqn (1.) to obtain eqn(2) i.e make the sum of squares of coefficients of x and...
 
siddharth gupta 4 months ago
find the sum of all the natural numbers between 1 and 200 which are neither divisible by 2 nor5
 
 
sum of odd terms from 1to 199 number of terms is =100 (tn=a +(n-1)d)a=1;d=2;tn=199 Sn(odd)=n/2[a+l]=50*200=10000 now deduct the term which are multiples of 5 a=5 d=10 tn=>195=5+(n-1)10...
 
gajanana hegde one year ago
 
1+2+............+200=n/2(a+l)=200/2(1+200)=100(201)=20100-10100(div by 2)=10000, 10000-(5+15+......195)=10000-20/2(5+195)=10000-2000=8000
 
srinivas aytha one year ago
The number of points (x,y) (where x and y both are perfect squares of integers) on the parabola y^2=px,p being a prime number, is ?
 
 
y 2 = px y = sqrt(px) Since x & y are perfect square integers, sqrt(x) is an integer. Since p is a prime no., sqrt(p) is an irrational no. The point which satisfies the given condition is...
 
Y RAJYALAKSHMI 2 months ago
pl suggest good book for 10+1 student to begin differential calculus.
 
 
A Textbook of Differential Calculus for JEE Main & Advanced by Arihant, read review at jeemathstudy.com/recommended-books-jee/a-textbook-of-differential-calculus-for-jee-main-advanced/
 
2015 years ago
 
Hi Student Please see if you going for entrance like IIT-JEE you can refer Amit Agarwal and ML Khana. If you are looking for intermediate level RD Sharma is good to refer for clearing bascis...
 
-2 hours ago
 
http://www.askiitians.com/important-books-iit-jee.aspx…...................................................................................................................................
 
-2 hours ago
Two forces of 60N and 80N acting at an angle of 60degrees with eath other. Pull an object. What single pull will replace the given forces. What is the direction of the force. The answer is...
 
 
Dear student, The resultant force would be given by: The direction would be given by: Now, lets place the 60 N force along the horizontal direction so the 80 N force would be making an angle...
  img
Sumit Majumdar 3 months ago
 
Hi, your answer is correct and the book one’s too. The difference between the answers is their representation. You are saying 34.7 degrees with the 80 N force and the book says 25.28...
  img
bharat bajaj 3 months ago
if period of function cos(nx).sin(5x/n) is 3 pi, then number of integral values of n are
 
 
cos(n(x+3Npi).sin(5(x+3Npi)/n)= cos nx . sin 5x/n, equating and solving equation gives us the values the integral values of n are±1,±3,±5,±15
  img
Sher Mohammad 3 months ago
View all Questions »