Class 11

08. Straight Lines question bank (Maths)

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Q1.

A particle begins at the origin and moves successively in the following manner as shown,1 unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc.The length of each move is half the length of the previous move and movement continues in the 'zigzag' manner infinitely. The co-ordinates of the point to which the 'zigzag' converges is -

(A)

(4/3, 2/3)

(B)

(4/3, 2/5)

(C)

(3/2, 2/3)

(D)

(2, 2/5)

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Q2.

Suppose ABC is a triangle with 3 acute angles A, B and C. The point whose coordinates are (cosB − sinA, sinB − cosA) can be in the -

(A)

first and 2nd quadrant

(B)

second and 3rd quadrant

(C)

third and 4th quadrant

(D)

second quadrant only

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