find the equation of lines passing through following pair of lines A) (at12+2at1) and (at22,2at2) - Maths - Straight Lines

Question

find the equation of lines passing through following pair of
lines
A) (at12 +2at1) and
(at22 ,2at2
​)
​ B) (asecalp​ha , btanalpha) and
(asecbetta , btanbetta)
C) (at1,a/t1) and (at2 ,
a/t2)

Neha Sethi · Accepted Answer

Dear student
A
 at12,2at1 and at22,2at2Slope of line m=x2-x1y2-y1=at22-at122at2-2at1=at22-t122at2-t1=t2-t1t2+t12t2-t1=t2+t12Since it is passing through at12,2at1So, y-y1=mx-x1y-2at1=t2+t12x-at122y-4at1=t2+t1x-at122y-4at1=xt2+t1-at12t2+t1xt2+t1-2y=at12t2+t1-4at1
For remaining queries we request you to post them in separate
threads to

have rapid assistance from our experts
Regards

find the equation of lines passing through following pair of lines A) (at12 +2at1) and (at22 ,2at2 ​) ​ B) (asecalp​ha , btanalpha) and (asecbetta , btanbetta) C) (at1,a/t1) and (at2 , a/t2)

find the equation of lines passing through following pair of lines
A) (at_1²+2at₁) and (at_2²,2at₂ )
B) (asecalpha , btanalpha) and (asecbetta , btanbetta)
C) (at₁,a/t₁) and (at_{2 ,}a/t₂)