119865 A line is drawn through the point \(P(3,11)\) to cut the circle \(x^2+y^2=9\) at points \(A\) and \(B\). Then \(\mathrm{PA} \times \mathrm{PB}\) is equal to

119867 Which of the following lines is a normal to the circle \(x^2+y^2-2 x-10 y+6=0\) ?

119868 A circle \(C_1\) passes through the origin \(O\) and has diameter 4 on the positive \(x\)-axis. The line \(y=\) \(2 x\) gives a chord \(O A\) of a circle \(C_1\). Let \(C_2\) be the circle with \(\mathrm{OA}\) as a diameter. If the tangent to \(C_2\) at the point \(A\) meets the \(x\)-axis at \(P\) and \(y\) axis at \(Q\), then \(Q A\) : \(A P\) is equal to :

119876 If the squares of the lengths of tangents from a point \(P\) to the circles \(x^2+y^2=a^2, x^2+y^2=b^2\) and \(x^2+y^2=c^2\) are in A.P., then

119865 A line is drawn through the point \(P(3,11)\) to cut the circle \(x^2+y^2=9\) at points \(A\) and \(B\). Then \(\mathrm{PA} \times \mathrm{PB}\) is equal to

119867 Which of the following lines is a normal to the circle \(x^2+y^2-2 x-10 y+6=0\) ?

119868 A circle \(C_1\) passes through the origin \(O\) and has diameter 4 on the positive \(x\)-axis. The line \(y=\) \(2 x\) gives a chord \(O A\) of a circle \(C_1\). Let \(C_2\) be the circle with \(\mathrm{OA}\) as a diameter. If the tangent to \(C_2\) at the point \(A\) meets the \(x\)-axis at \(P\) and \(y\) axis at \(Q\), then \(Q A\) : \(A P\) is equal to :

119876 If the squares of the lengths of tangents from a point \(P\) to the circles \(x^2+y^2=a^2, x^2+y^2=b^2\) and \(x^2+y^2=c^2\) are in A.P., then

119865 A line is drawn through the point \(P(3,11)\) to cut the circle \(x^2+y^2=9\) at points \(A\) and \(B\). Then \(\mathrm{PA} \times \mathrm{PB}\) is equal to

119867 Which of the following lines is a normal to the circle \(x^2+y^2-2 x-10 y+6=0\) ?

119868 A circle \(C_1\) passes through the origin \(O\) and has diameter 4 on the positive \(x\)-axis. The line \(y=\) \(2 x\) gives a chord \(O A\) of a circle \(C_1\). Let \(C_2\) be the circle with \(\mathrm{OA}\) as a diameter. If the tangent to \(C_2\) at the point \(A\) meets the \(x\)-axis at \(P\) and \(y\) axis at \(Q\), then \(Q A\) : \(A P\) is equal to :

119876 If the squares of the lengths of tangents from a point \(P\) to the circles \(x^2+y^2=a^2, x^2+y^2=b^2\) and \(x^2+y^2=c^2\) are in A.P., then

119865 A line is drawn through the point \(P(3,11)\) to cut the circle \(x^2+y^2=9\) at points \(A\) and \(B\). Then \(\mathrm{PA} \times \mathrm{PB}\) is equal to

119867 Which of the following lines is a normal to the circle \(x^2+y^2-2 x-10 y+6=0\) ?

119868 A circle \(C_1\) passes through the origin \(O\) and has diameter 4 on the positive \(x\)-axis. The line \(y=\) \(2 x\) gives a chord \(O A\) of a circle \(C_1\). Let \(C_2\) be the circle with \(\mathrm{OA}\) as a diameter. If the tangent to \(C_2\) at the point \(A\) meets the \(x\)-axis at \(P\) and \(y\) axis at \(Q\), then \(Q A\) : \(A P\) is equal to :

119876 If the squares of the lengths of tangents from a point \(P\) to the circles \(x^2+y^2=a^2, x^2+y^2=b^2\) and \(x^2+y^2=c^2\) are in A.P., then