from the point M(1,3) a tangent is drawn at point p to the parabola 2{(x-6 )2 + (y-6)2}=(x+y-4)2. Find the measure of angleMSP where S is the focus of the parabola

Question

Vikas TU · Answer

First of all the given eqn. 2{(x-6 )2 + (y-6)2}=(x+y-4)2 is not a defined parabola as it consists both x and y variables with power 2 and neither it gets cancelled out from R.H.S so please first check the question. and mention again the suitable parsbolic eqn. only one varable either x or y should have power 2.

Prakash · Answer

Point 1,3 lie on the directrix of the given parabola and focus is 6,6 we have to find angle msp now think about normal parabola angle msp is 90° and this will hold for all parabola and the given equation represent a parabola of focus 6,6 and directrix x+y-4

shauryam · Answer

the angle msp is independent of coordinate system hence we shift the parabola 2{(x-6)^2+(y-6)^2}=(x+y-4)^2 parallel to y axis the angle msp never change hence the equation of parabola becomes y^2=4ax point p(at^2,2at) equation of tangent to the parabola y^2=4ax is ty=x+at^2 ---(1) dirctrix cut axis at(-a,0) putting x in point(-a,0) in eqn(1) we get coordinates of m x=-a y=a(t^2-1)/t slope msp= (2at-0)/(at^2-a)=(2t)/(t^2-1) slope msm= -(t^2-1)/2t msp×msm= -1 hence angle is 90°

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

from the point M(1,3) a tangent is drawn at point p to the parabola 2{(x-6 )2 + (y-6)2}=(x+y-4)2. Find the measure of angleMSP where S is the focus of the parabola

from the point M(1,3) a tangent is drawn at point p to the parabola 2{(x-6 )2 + (y-6)2}=(x+y-4)2. Find the measure of angleMSP where S is the focus of the parabola

3 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

from the point M(1,3) a tangent is drawn at point p to the parabola 2{(x-6 )2 + (y-6)2}=(x+y-4)2. Find the measure of angleMSP where S is the focus of the parabola

from the point M(1,3) a tangent is drawn at point p to the parabola 2{(x-6 )2 + (y-6)2}=(x+y-4)2. Find the measure of angleMSP where S is the focus of the parabola

3 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship