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Position of a point w.r.t. a Circle - Advance Quiz

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

Q1. A region in the x-y plane is bounded by the curve y=√(25-x^2 ) and the line y = 0. If the point (a,a+1) lies in the interior of the region, then :
•  a∈(-4,3)
•  a∈(-∞,-1)∪(3,+∞)
•  a∈(-1,3)
•  None of these
Solution
a∈(-1,3)

Q2.If (2, 4) is a point interior to the circle x^2+y^2-6x-10y+Î»=0 and the circle does not cut the axes at any point , then  belongs to the interval:
•  (25, 32):
•  (9, 32)
•  (32, +)
•  None of these
Solution
(25, 32)

Q3.  The range of values of Î¸∈[0,2Ï€] for which (1+cos⁡Î¸,sin⁡Î¸) is an interior point of the circle x^2+y^2=1 is :
•  (Ï€/6,5Ï€/6)
•  (2Ï€/3,5Ï€/3)
•  (Ï€/6,7Ï€/6)
•  x^2+y^2-2x-6y-7=0
Solution
x^2+y^2-2x-6y-7=0

Q4. The range of values of r for which the point x^2+y^2+2g^' x+2f^' y+c^'=0, is an interior point of the major segment of the circle x^2+y^2=16, cut off by the line x+y=2 is
•  (-∞,5√2)
•  x^2+y^2-2x-4y+8=0
•  (4√2-√14,4√2+√14)
•  None of these
Solution
x^2+y^2-2x-4y+8=0

Q5.If P (2, 8) is an interior point of a circle x^2+y^2-2x+4y-p=0 which neither touches nor intersects the axes, then set for p is
•  p < – 1
•  p < – 4
•  p > 96
•  null
Solution
null

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Position of a point w.r.t. a Circle - Advance Quiz