AP EAMCET201822 Apr 2018Evening ShiftMathematicsVector AlgebraActual

If P and Q are two points on the curve y=2^ x+2 such that O P i =-1 and O Q i =2 , then the magnitude of ( Q R -4 O P ) is

Options

A10
B1
C5
D100

Correct answer

A. 10

Step-by-step solution

Let point P (p, 2^ p+2 ) and Q (q, 2^ q+2 ) array ll Now, & O P =P i+2^ p+2 j and & O Q =q i+2^ q+2 j array According to the question, aligned & OP i=-1 & p=-1 O P =- i +2 j & and O Q i=2 q=2 & OQ =2 i +16 j & So, O Q -4 O P =6 i +8 j & Magnitude of ( O Q -4 O P )= 36+64 =10 . & aligned

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