Question

equation of tangent to the circle X square + Y square equal to 4 which is parallel to X + 2 Y + 3 is equal to zero is​

Answer 1

(i)

Let the Equation of tangent parallel to 3x−4y−1=0 be 3x−4y+k=0

Now, Radius = Distance of center from the line

1

2

+2

2

−(−4)

9+16

3(1)−4(2)+k ⇒3∗5=3−8+k⇒k=20

Hence, Equation of tangent parallel to 3x−4y−1=0

is 3x−4y+20=0

(ii)

Let the Equation of tangent perpendicular to 3x−4y−1=0 be 4x+3y+p=0

Now, Radius = Distance of center from the line

1

2

+2

2

−(−4)

16+9

4(1)+3(2)+p

⇒3∗5=4+6+p⇒p=5

Hence, Equation of tangent perpendicular to 3x−4y−1=0

is 4x+3y+5=0

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