Question

Write the length of the intercept made by the circle x²+y²+2x-4y-5=0 in the y axis ?​

Answer 1

Answer:

6 units

Step-by-step explanation:

Coordinate of x on y-axis is 0.

0² + y² + 2×0 - 4y - 5 = 0

y² - 4y - 5 = 0

y² - 5y + y - 5 = 0

y(y - 5) + (y - 5) = 0

(y - 5)(y + 1) = 0

If (y - 5) = 0, then $y_{1}$ = 5

If (y + 1) = 0 , then $y_{2}$ = - 1

$|y_{2} - y_{1} | = |- 1-5| = 6 units$