NDA Math Conic Section

Parabola Equation: y=x2+7x+2
Line equation: y=3x−3
Since all the points given in the options lie on the parabola
Thus we will calculate the distance from the given line to these points:
for (0,2): distancefor (−2,−8): distance =‌‌

|3(−2)−(−8)−3|

√10

=‌‌

1

√10

for (−7,2): distance =‌‌

|3(−7)−2−3|

√10

=‌‌

26

√10

for (1,10): distance =‌‌

|3(1)−10−3|

√10

=‌‌

10

√10

∴(−2,−8) is the given point.