Class 11

10-1.Circle and System of Circles question bank (Maths)

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Q1.

$A$ line meets the coordinate axes at points $A$ and $B$. $A$ circle is circumscribed about the triangle $OAB$. If $m$ and $n$ are the distances of the tangents to the circle at points $A$ and $B$ respectively from the origin,then the diameter of the circle is

(A)

$m(m + n)$

(B)

$m + n$

(C)

$n(m + n)$

(D)

$\frac{1}{2}(m + n)$

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Q2.

If the lines $l_1x + m_1y + n_1 = 0$ and $l_2x + m_2y + n_2 = 0$ cut the axes at concyclic points,then

(A)

$l_1l_2 = m_1m_2$

(B)

$l_1m_1 = l_2m_2$

(C)

$l_1l_2 + m_1m_2 = 0$

(D)

$l_1m_2 = l_2m_1$

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