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 Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2+ y2 = 4. Their variable chord of contact always passes through a fixed point whose co-ordinates are
  • a)
  • b)
  • c)
    (1, 1)
  • d)
     
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Pair of tangents are drawn from every point on the line 3x + 4y = 12 o...
Let P(x1,y1) be a point on the line 3x + 4y = 12
Equation of variable chord of contact of P(x1,y1) w.r.t circle x2 + y2 = 4 
xx1 + yy1 − 4 = 0   ...(1)
Also 3x1 + 4y1 − 12 = 0
⇒ x1 + 4/3y1 − 4 = 0   ...(2)
Comparing (1) and (2), we get
x = 1; y = 4/3
∴ Variable chord of contact always passes through (1, 4/3)
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Most Upvoted Answer
Pair of tangents are drawn from every point on the line 3x + 4y = 12 o...
Steps--
1)that chord's equation {{xx1+yy1=4}}
2) pair of tangents drawn from external points is(k,12-3k/4)
3)after plugging value. we get eq1+keq2=0 , so that chord's is actually passing through a fixed point which is nothing but point of intersection of eq1 and eq2.
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Pair of tangents are drawn from every point on the line 3x + 4y = 12 o...
Let P(x1,y1) be a point on the line 3x + 4y = 12
Equation of variable chord of contact of P(x1,y1) w.r.t circle x2 + y2 = 4 
xx1 + yy1 − 4 = 0   ...(1)
Also 3x1 + 4y1 − 12 = 0
⇒ x1 + 4/3y1 − 4 = 0   ...(2)
Comparing (1) and (2), we get
x = 1; y = 4/3
∴ Variable chord of contact always passes through (1, 4/3)
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Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2+ y2= 4. Their variable chord of contact always passes through a fixed point whose co-ordinates area)b)c)(1, 1)d)Correct answer is option 'D'. Can you explain this answer?
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Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2+ y2= 4. Their variable chord of contact always passes through a fixed point whose co-ordinates area)b)c)(1, 1)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2+ y2= 4. Their variable chord of contact always passes through a fixed point whose co-ordinates area)b)c)(1, 1)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2+ y2= 4. Their variable chord of contact always passes through a fixed point whose co-ordinates area)b)c)(1, 1)d)Correct answer is option 'D'. Can you explain this answer?.
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