Consider the family of all circles whose centers lie on the straight line y = x. If this family of circle is represented by the differential equation Py + Qy + 1=0 , where P, Q arefunctions of x, y and y then which of the following statements is (are) true?a)P = y + xb)P = y andndash; xc)P + Q = 1 andndash; x + y + y+ (y)2d)P andndash; Q = x + y andndash; yandndash;(y)2Correct answer is option 'B,C'. Can you explain this answer?

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then which of the following statements is (are) true?

a)
P = y + x
b)
P = y – x
c)
P + Q = 1 – x + y + y' + (y')²
d)
P – Q = x + y – y' –(y')²

Correct answer is option 'B,C'. Can you explain this answer?

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Consider the family of all circles whose centers lie on the straight l...

Let the equation of circle be x² + y² + 2gx + 2gy + c = 0
⇒ 2x + 2yy' + 2g + 2gy' = 0
⇒ x + yy' + g + gy' = 0 ...(i)

Differentiating again,

Substituting value of g in eqn. (i)

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Consider the family of all circles whose centers lie on the straight line y = x. If this family of circles isrepresented by the differential equationwhere P, Q are functions of x, y and then which of the following statements is (ar e) true ?

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Consider the family of all circles whose centers lie on the straight line y = x. If this family of circle is represented by the differential equation Py '' + Qy' + 1=0 , where P, Q arefunctions of x, y and y' then which of the following statements is (are) true?a)P = y + xb)P = y – xc)P + Q = 1 – x + y + y'+ (y')2d)P – Q = x + y – y'–(y')2Correct answer is option 'B,C'. Can you explain this answer?

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Consider the family of all circles whose centers lie on the straight line y = x. If this family of circle is represented by the differential equation Py '' + Qy' + 1=0 , where P, Q arefunctions of x, y and y' then which of the following statements is (are) true?a)P = y + xb)P = y – xc)P + Q = 1 – x + y + y'+ (y')2d)P – Q = x + y – y'–(y')2Correct answer is option 'B,C'. 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 Consider the family of all circles whose centers lie on the straight line y = x. If this family of circle is represented by the differential equation Py '' + Qy' + 1=0 , where P, Q arefunctions of x, y and y' then which of the following statements is (are) true?a)P = y + xb)P = y – xc)P + Q = 1 – x + y + y'+ (y')2d)P – Q = x + y – y'–(y')2Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the family of all circles whose centers lie on the straight line y = x. If this family of circle is represented by the differential equation Py '' + Qy' + 1=0 , where P, Q arefunctions of x, y and y' then which of the following statements is (are) true?a)P = y + xb)P = y – xc)P + Q = 1 – x + y + y'+ (y')2d)P – Q = x + y – y'–(y')2Correct answer is option 'B,C'. Can you explain this answer?.

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