PASSAGE1
ABCD is a square of side length 2 units. C_{1 }is the circle touching all the sides of the square ABCD and C_{2} is the circumcircle of square ABCD. L is a fixed line in the same plane and R is a fixed point.
Q. If P is any point of C_{1} and Q is another point on C_{2}, then
is equal to (2006  5M, –2)
PASSAGE1
ABCD is a square of side length 2 units. C_{1 }is the circle touching all the sides of the square ABCD and C_{2} is the circumcircle of square ABCD. L is a fixed line in the same plane and R is a fixed point.
Q. If a circle is such that it touches the line L and the circle C_{1 }externally, such that both the circles are on the same side of the line, then the locus of centre of the circle is (2006  5M, –2)
1 Crore+ students have signed up on EduRev. Have you? Download the App 
PASSAGE1
ABCD is a square of side length 2 units. C_{1 }is the circle touching all the sides of the square ABCD and C_{2} is the circumcircle of square ABCD. L is a fixed line in the same plane and R is a fixed point.
Q. A line L' through A is drawn parallel to BD. Point S moves such that its distances from the line BD and the vertex A are equal. If locus of S cuts L' at T_{2 }and T_{3 }and AC at T_{1}, then area of ΔT_{1}T_{2}T_{3} is (2006  5M, –2)
PASSAGE2
A circle C of radius 1 is inscribed in an equilateral triangle PQR.
The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equationand the point D is
Further, it is given that the origin and the centre of C are on the same side of the line PQ.
Q. The equation of circle C is (2008)
PASSAGE2
A circle C of radius 1 is inscribed in an equilateral triangle PQR.
The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equationand the point D is
Further, it is given that the origin and the centre of C are on the same side of the line PQ.
Q. Points E and F are given by (2008)
PASSAGE2
A circle C of radius 1 is inscribed in an equilateral triangle PQR.
The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equationand the point D is
Further, it is given that the origin and the centre of C are on the same side of the line PQ.
Q. Equations of the sides QR, RP are (2008)
PASSAGE3
A tangent PT is drawn to the circle x^{2} + y^{2} = 4 at the point . A straight line L, perpendicular to PT is a tangent to the circle (x – 3)^{2} + y^{2} = 1. (2012)
Q. A possible equation of L is
PASSAGE3
A tangent PT is drawn to the circle x^{2} + y^{2} = 4 at the point . A straight line L, perpendicular to PT is a tangent to the circle (x – 3)^{2} + y^{2} = 1. (2012)
Q. A common tangent of the two circles is
327 docs185 tests

327 docs185 tests
