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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Mathematics
Chapter
Parabola

JEE Advanced 2006 · Mathematics · Parabola

Paragraph: Read the following passage and answer the questions. Let...

Paragraph: Read the following passage and answer the questions. Let ABCDA B C D be a square of side length 2 units. C2C_2 is the circle through vertices A,B,C,DA, B, C, D and C1C_1 is the circle touching all the sides of square ABCDA B C D. LL is the line through AA.Question: A circle touches the line LL and the circle C1C_1 externally such that both the circles are on the same side of the line, then the locus of centre of the circle isParagraph: Read the following passage and answer the questions. Let A B C D be a square of side length 2 units. C_2 is

Options

  1. Aellipse
  2. Bhyperbola
  3. Cparabola
  4. Dparts of straight line

Correct answer

C. parabola

Step-by-step solution

Let CC be the centre of the required circle. Now, draw a line parallel to LL at a distance of r1r_1 (radius of C1C_1 ) from it. Now, CP1=ACC P_1=A C ⇒C\Rightarrow C lies on a parabola. Paragraph: Read the following passage and answer the questions. Let A B C D be a square of side length 2 units. C_2 is
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