1
IIT-JEE 1989
True or False
+1
-0
The line x + 3y = 0 is a diameter of the circle $${x^2} + {y^2} - 6x + 2y = 0\,$$.
A
TRUE
B
FALSE
2
IIT-JEE 1989
Fill in the Blanks
+2
-0
The area of the triangle formed by the positive x-axis and the normal and the tangent to the circle $${x^2} + {y^2} = 4\,\,at\,\,\left( {1,\sqrt 3 } \right)$$ is,..................
3
IIT-JEE 1989
MCQ (Single Correct Answer)
+2
-0.5
If the two circles $${(x - 1)^2} + {(y - 3)^2} = {r^2}$$ and $${x^2} + {y^2} - 8x + 2y + 8 = 0$$ intersect in two distinct points, then
A
2 < r < 8
B
r < 2
C
r = 2
D
r > 2
4
IIT-JEE 1989
MCQ (Single Correct Answer)
+2
-0.5
The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle of area 154 sq. units. Then the equation of this circle is
A
$${x^2} + {y^2} + 2x - 2y = 62$$
B
$${x^2} + {y^2} + 2x - 2y = 47$$
C
$${x^2} + {y^2} - 2x + 2y = 47$$
D
$${x^2} + {y^2} - 2x + 2y = 62$$c
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