Grade 12Algebra

FIND THE EQUATION OF TANGENTS TO CRCLE WITH CENTER AT ORIGIN AND RADIUS 3 WHICH ARE ARE PARALLEL TO THE LINE 3X + 4Y -5=0

sach

12 Years agoGrade 12

1 Answer

SHAIK AASIF AHAMED

12 Years ago

Hello student,

Given circle is x²+y²=9; where r=3

slope=m=-3/4

equation of tangent is given by

$y=mx\pm r\sqrt{1+m^{2}}$

$y=-3/4x\pm 3\sqrt{1+-3/4^{2}}$

y=(-3x+15)/4

4y=-3x+15

So 3x+4y-15=0 is the equation of tangent

Thanks and REgards

Shaik Aasif

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FIND THE EQUATION OF TANGENTS TO CRCLE WITH CENTER AT ORIGIN AND RADIUS 3 WHICH ARE ARE PARALLEL TO THE LINE 3X + 4Y -5=0

sach

1 Answer

SHAIK AASIF AHAMED

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