Number of lines drawn from the pointegral (4, –5) so that it... | MATH - DISTANCE BETWEEN TWO LINES, PERPENDICULAR | SolveeIt | Solveeit

Today, August 19

Question

Number of lines drawn from the point (4, –5) so that its distance from (–2, 3) will be equal to 12 are-

A

2

B

1

C

4

D

None of these

Answer

None of these

Explanation

Solution

If possible equation of line is y + 5 = m(x – 4)

Ž y – mx + 4m + 5 = 0

then = 12

Ž (8 + 6m)² = 144 (1 + m²)

Ž 27 m² – 24 m + 20 = 0

Here discriminate < 0

there for no such line possible for real value of m.