If P ,Q are two points on the curve y=2^x+2 in the rectangular Cartesian coordinate system such that OP i=-1 , OQ i=2 then OQ-4 OP=

Question

Accepted Answer

Correct answer: C. (c) y=2^x+2 … . . (i ) Let P (a ,b ) and Q (c ,d ) are points on curve ∴ OP=ai+bj ⇒ OP i=a=-1 Put a=-1 as x=-1 in…..(ii) y=b=2^2-1=2 ∴P (a ,b ) ≡P (-1 ,2 ) OQ=ci+dj OQ i=c=2 Put x=c=2 in (i) y=d=2^2+2=16 ∴Q (c ,d ) ≡Q (2 ,16 ) OP=i+2j OQ=2i+16j OQ-4 OP= (2i+16j )-4 (-i+2j ) =6i+8j

$If P, Q are two points on the curve y = 2^{x + 2} in the rectangular Cartesian coordinate system such that OP \cdot i = - 1, OQ \cdot i = 2 then OQ - 4 OP =$

Solution

More Vector Algebra PYQs