Grade 12Analytical Geometry
a line y-3power0.5+3=0 cuts parabola ypower2=x+2 at A and B.if P is(3power0.5,0) find PA.PB?????
1 Answer
ankitesh gupta
CLEARLY FROM THE DIAGRAM WE CAN SEE THAT THE Y COORDINATES OF ''A'' AND ''B'' WILL BE (31/2 - 3) SINCE THEY LIE ON LINE Y=(31/2 - 3) NOW SUBSTITUTE THE VALUE Y=(31/2 - 3) SINCE IT INTERSECTS WITH PARABOLA HENCE IT WILL SATISFY THE EQUATION WHEN YOU SUBSTITUTE OU WILL GET AN QUADRATIC IN X AND THEB YOU WILL GET TWO VALUES OF X WHICH WILL BE ''A'' AND ''B'' . THEN APPLY DISTANCE FORMULA THEN FIND THE DISTANCE OF ''PA'' AND ''PB'' THEN GET THE ANSWER......
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