Questions
The locus of the point of intersection of lines is a variable), is
a
2x2+y2=a2+b2
b
x2−y2=a2−b2
c
x2+y2=a2+b2
d
none of these
detailed solution
Correct option is C
Let (h, k) be the point of intersection of the line xcosα+ysinα=a and xsinα−ycosα=b. Then,hcosα+ksinα=ahsinα−kcosα=bSquaring and adding (i) and (ii), we get (hcosα+ksinα)2+(hsinα−kcosα)2=a2+b2h2+k2=u2+b2Hence,(h,k) is x2+y2=a2+b2Talk to our academic expert!
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A line L cuts the sides AB, BC of ABC in the ratio 2 : 5, 7 : 4 respectively. Then the line L cuts CA in the ratio
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