MY CART (5)
ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   derivation (trick) for the point of intersection of a pair of straight lines with a curve (in 2 degree)
                   

3 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.

3 years ago
                                        

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

3 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.

3 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
find the equation of the circle through (-2,-4), (6,0) and (1,5)
 
 
Hii FInd out equations of two chords using three points. Then find the pair of equations of perpendicular bisectors. Find their point of intersection that will be centre . Find out the value...
  img
Sourabh Singh 4 months ago
 
hey I have a simpler and unique solution Use family of circles passing through two points and then put third point to get the constant The required circle’s equation will be S + k L = 0...
 
Kaustubh Nayyar 4 months ago
 
hii use general equation of circle... x 2 +y 2 +2gx+2fy+c=0 put the given coordinates and you will ger the linear eqn with three variables ...solve them to find g f c then put it on the...
 
divyansh 4 months ago
find eqn. of a line passing through intersectin of lines x+y+1=0 and 2x-3y-1=0 and passing through (1,1) whose slope is 2 units
 
 
this question is to be done by done by the method of family of lines. so,by this method-(x+y+1)+lambda(2x-3y-1)=0 now x=--2/5 and y=--3/5 are the solutions of the equation x+y+1 =0 and...
 
vineet chatterjee 7 months ago
find orthocenter of triangle A(2^(1/2) 3) B(3,3) C(5^(1/2),6) where circumcenter is (0,0)
 
 
Pl. check this problem. The circumcentre for the given triangle cannot be (0,0). Also, for finding orthocentre, circumcentre is not required.
 
Y RAJYALAKSHMI 6 months ago
cosx dy/dx= y 2 (1-sinx) Cosx
 
 
Ans: Hello Student, Please find answer to your question below
  img
Jitender Singh 6 months ago
cos^2a-6sinacosa+3sin^2a+2
 
 
Ans: For maxima: when Maximum value: Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
  img
Jitender Singh 8 months ago
The smallest postive integer for which (1+i/1-i)^n=1
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 7 months ago
View all Questions »