Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
Find the locus of a point P such that the sum of its distance from ( 0, 2) and ( 0, - 2 ) is 6. Find the locus of a point P such that the sum of its distance from ( 0, 2) and ( 0, - 2 ) is 6.
By distance formula,[x^2 + (y-2)^2]^1/2 + [x^2 + (y+2)^2]^1/2 = 6.(x^2 + y^2 - 4y + 4)^1/2 + (x^2 + y^2 + 4y + 4)^1/2 = 6.Let x^2 + y^2 + 4 = a.(a - 4y)^1/2 + (a + 4y)^1/2 = 6.(a - 4y)^1/2 = 6 - (a + 4y)^1/2.Squaring both sides,a - 4y = a + 4y + 36 - 12* (a + 4y)^1/2.8y + 36 = 12* (a + 4y)^1/2.2y + 9 = 3* (a + 4y)^1/2.Squaring again,4y^2 + 36y + 81 = 9a + 36y.9a - 4y^2 - 81 = 0.Putting back the original value of a,9x^2 + 5y^2 - 45 = 0.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -