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A line {2}{x}+{y}={1} intersect co-ordinate axis at points {A}

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A line $2 x + y = 1$ intersect co-ordinate axis at points $A$ and $B$ . A circle is drawn passing through origin and point $A$ & $B$ . If perpendicular from point $A$ and $B$ are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) $\frac{5}{2}$ (B) $\frac{5}{2}$ (C) $\frac{5}{4}$ (D) $\frac{5}{2}$

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Theodore Discussed

A line

2 x + y = 1

intersect co-ordinate axis at points

A

and

B

. A circle is drawn passing through origin and point

A

B

. If perpendicular from point

A

and

B

are drawn on tangent to the circle at origin then sum of perpendicular distance is (A)

\frac{5}{2}

(B)

\frac{5}{2}

(C)

\frac{5}{4}

(D)

\frac{5}{2}

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Question Text	A line $2 x + y = 1$ intersect co-ordinate axis at points $A$ and $B$ . A circle is drawn passing through origin and point $A$ & $B$ . If perpendicular from point $A$ and $B$ are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) $\frac{5}{2}$ (B) $\frac{5}{2}$ (C) $\frac{5}{4}$ (D) $\frac{5}{2}$
Answer Type	Video solution: 1
Upvotes	150