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  • Try this! A straight line through a fixed point (2, 3) intersects the coordinate axes at distinctpoints P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is :

A straight line through a fixed point (2, 3) intersects the coordinate axes at distinctpoints P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is :

  • Option 1)

    3x+2y=6xy

  • Option 2)

    3x + 2y = 6

  • Option 3)

    2x +3y =xy

  • Option 4)

    3x+2y =xy

 

Answers (2)

best_answer

 

 

Equation of PQ is

 \frac{x}{h}+\frac{y}{k}= 1

i.e put (x,y) \Rightarrow \left ( 2,3 \right )

 

{\frac{2}{h}}+{\frac{3}{k}}=1

3x+2y= xy

 

Locus -

Path followed by a point p(x,y) under given condition (s).

- wherein

It is satisfied by all the points (x,y) on the locus.

 

 

Intercept form of a straight line -

\frac{x}{a}+\frac{y}{b}=1

 

- wherein

a and b are the x-intercept and y -intercept respectively.

 

 

 


Option 1)

3x+2y=6xy

Option 2)

3x + 2y = 6

Option 3)

2x +3y =xy

Option 4)

3x+2y =xy

Posted by

gaurav

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3x+2y=xy

 

Posted by

Srivarshini pratha

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