Class 12 Exam  >  Class 12 Questions  >  Find the point to which origin should be shif... Start Learning for Free
Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.?
Verified Answer
Find the point to which origin should be shifted so that the equation ...
k=-2 and h =3/h
Solution :- Let origin ne shifted to (h,k) . then
x = X +h and y = Y+k
substituting x =X +h and y = Y+k in the equation y^2 + 4y +8x -2 =0 we get ,
(Y+k)^2 + 4(Y+K) + 8(X+h) -2 =0
or, Y^2 + (4 +2k)Y +8X +(k^2+4k+8h -2) =0
for this equation to be free from the term contains Y and the constant term ,we must have
4+2k = 0 ,k = -2 and k^2+4k +8h -2 =0 =>k = 3/4
hence, the origin is shifted at the point (3/4,-2)
This question is part of UPSC exam. View all Class 12 courses
Explore Courses for Class 12 exam
Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.?
Question Description
Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.?.
Solutions for Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? defined & explained in the simplest way possible. Besides giving the explanation of Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.?, a detailed solution for Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? has been provided alongside types of Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? theory, EduRev gives you an ample number of questions to practice Find the point to which origin should be shifted so that the equation y2 4y 8x-2=0will not contain term in y and the constant term.? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev