## Pair of Tangents to a Circle - Advance Quiz

Mathematics is an important subject in SSC,DSSB & Other Exams. .

Q1.  The angle between the two tangents from the origin to the circle (x-7)^2+(y+1)^2=25 is :
•  0
•  Ï€/3
•  Ï€/2
•  Ï€/6
Solution
Ï€/6

Q2.Tangents are drawn from the point (4, 3) to the circle x^2+y^2=9. The area of the triangle formed by them and the line joining their points of contact is :
•  24/25:
•  64/25
•  192/25
•  192/5
Solution
192/25

Q3.  An infinite number of tangents can be drawn from (1, 2) to the circle x^2+y^2-2x-4y+Î»=0, then Î»= :
•  -20
•  0
•  5
•  Cannot be determined
Solution
5

Q4. The area of the triangle formed by the tangents from the points (h, k) to the circle x^2+y^2=a^2 and the line joining their points of contact is
•  a ((h^2+k^2-a^2 )^(3/2))/(h^2+k^2 )
•  a ((h^2+k^2-a^2 )^(1/2))/(h^2+k^2 )
•  ((h^2+k^2-a^2 )^(3/2))/(h^2+k^2 )
•  ((h^2+k^2-a^2 )^(1/2))/(h^2+k^2 )
Solution
a ((h^2+k^2-a^2 )^(3/2))/(h^2+k^2 )

Q5.Two tangents PQ and PR drawn to the circle (a^2+b^2)(x^2+y^2)=2ab(ax+by) from point P (16, 7). If the centre of the circle is C then the area of quadrilateral PQCR will be
•  75
•  150
•  15
•  None of these
Solution
75

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