Let A (a ,b ) ,B (3 ,4 ) and (-6 ,-8 ) respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the point P (2a+3 ,7b+5 ) from the line 2x+3y-4=0 measured p…

Question

Let A (a ,b ) ,B (3 ,4 ) and (-6 ,-8 ) respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the point P (2a+3 ,7b+5 ) from the line 2x+3y-4=0 measured parallel to the line x-2y-1=0 is

Accepted Answer

Correct answer: C. (c) A (a ,b ) , B (3 ,4 ) , C (-6 ,-8 )C 2 :1A (-6 ,-8 ) (a ,b ) (3 ,4 ) ⇒a=0 ,b=0 ⇒P (3 ,5 ) Distance from P measured along x-2y-1=0 ⇒x=3+r cos ⁡ , y=5+r sin ⁡ Where tan ⁡ = 12 r (2 cos ⁡ +3 sin ⁡ )=-17 ⇒r= ( -17 57 )= 17 57

$Let A (a, b), B (3, 4) and (- 6, - 8) respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the point P (2 a + 3, 7 b + 5) from the line 2 x + 3 y - 4 = 0 measured parallel to the line x - 2 y - 1 = 0 is$

Solution

More Straight Lines PYQs