MHT CET202310 May 2023Morning ShiftMathematicsHyperbolaActual
If the line a x+ b y+ c =0 is a normal to the curve x y=1 , then
Options
- Aa>0, b>0
- Ba>0, b < 0
- Ca < 0, ~b < 0
- Da=0, b=0
Correct answer
B. a>0, b < 0
Step-by-step solution
aligned & x y=1 & y= 1 x & y^ = -1 x^2 aligned Slope of the normal =x^2 Slope of the line a x+b y+c=0 is -a b . Since the line a x+b y+c=0 is a normal to the curve x y=1 , x^2=- a b For this condition to hold true, either a 0 or b 0