Most Important Selected Qs for JEE AdvancedMathematicsVector Algebra

An equilateral triangle O A B has side length 1, P is a point on the plane of the triangle. If O P =(2-t) O A +t O B , t R , then the possible value of | A P | can be:

Options

A1 2
B1 2
C3 2
D2

Correct answer

D. 2

Step-by-step solution

Let A is (1,0), B is ( 1 2 , 3 2 ) and P is (x, y) array ll & O P =(2-t) O A +t O B , t R & x i +y j =(2-t) i +t ( i 2 + 3 j 2 ) array x=2- t 2 ; y= 3 t 2 | A P |=|(x-1) i +y j |= (x-1)^2+y^2 = t^2-t+1 3 2

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