Question

straight lines :
Find the equations of the straight lines passing
through the point of intersection of the lines
3x + 2y + 4 =0 , 2x + 5y =1
and whose distance from (2,-1) is 2.​

Answer 1

Answer:

y = 1 and y = - $\frac{4}{3}$ x - $\frac{5}{3}$

Step-by-step explanation:

The points whose distance is 2 units from point with coordinates (2, -1) lie on circumference with center at (2, -1) and r = 2;

There are 2 lines/tangents which are passing point (-2, 1) and ⊥ to radius of circle (x - 2)² + (y + 1)² = 2²

Equation of the first line is y = 1

Equation of the second line is y = - $\frac{4}{3}$ x - $\frac{5}{3}$