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If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points P and Q then the line 5x + by – a = 0 passes through P and Q for[2005]
  • a)
    exactly one value of a
  • b)
    no value of a
  • c)
    infinitely many values of a
  • d)
    exactly two values of a
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + d...
s1 = x2 + y2+ 2ax + cy +a =0  
s2 = x+ y- 3ax + dy - 1 =0
Equation of common chord of circles s1 and s2 is given by s1 - s2= 0
⇒ 5ax + (c - d)y +a +1=0
Given that 5x + by – a = 0
passes through P and Q
∴ The two equations should represent the same line
a2 +a+1=0
No real value of a.
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Most Upvoted Answer
If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + d...
It seems like the question is incomplete. Can you please provide the complete equation for the second circle?
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If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points P and Q then the line 5x + by – a = 0 passes through P and Q for[2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer?
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If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points P and Q then the line 5x + by – a = 0 passes through P and Q for[2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. 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 If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points P and Q then the line 5x + by – a = 0 passes through P and Q for[2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If th e circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points P and Q then the line 5x + by – a = 0 passes through P and Q for[2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer?.
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