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Straight Lines And Pair Of Straight Lines

TS EAMCET 2022 (Online) 20th July Morning Shift

MCQ+1 / -02022

4 different pairs of lines are given in List I and the cosine of the angle between every pair of lines is given in List II. Match the following :
























































                                  List-I                    List-II
(A) 

<mspace width="1em"></mspace>


5

<mi>x</mi>

<mn>2</mn>


+

2

<mn>7</mn>


x

y

−

<mi>y</mi>

<mn>2</mn>


=

0



<mspace width="1em"></mspace>


5

<mi>x</mi>

<mn>2</mn>


+

2

<mn>7</mn>


x

y

−

<mi>y</mi>

<mn>2</mn>


=

0

quad5x^(2)+2sqrt7xy-y^(2)=0		(I) 

<msqrt>

  <mn>3</mn>

</msqrt>

<mn>2</mn>




<msqrt>

  <mn>3</mn>

</msqrt>

<mn>2</mn>


(sqrt3)/(2)
(B) 

<mspace width="1em"></mspace>


<mi>x</mi>

<mn>2</mn>


+

<mn>11</mn>


x

y

+

2

<mi>y</mi>

<mn>2</mn>


=

0



<mspace width="1em"></mspace>


<mi>x</mi>

<mn>2</mn>


+

<mn>11</mn>


x

y

+

2

<mi>y</mi>

<mn>2</mn>


=

0

quadx^(2)+sqrt11xy+2y^(2)=0		(II) 

<mo data-mjx-texclass="OPEN">(</mo>

<mfrac>

  <mn>1</mn>

  <mrow>

    <mn>2</mn>

    <msqrt>

      <mn>3</mn>

    </msqrt>

  </mrow>

</mfrac>

<mo data-mjx-texclass="CLOSE">)</mo>




<mrow>

  <mfrac>

    <mn>1</mn>

    <mrow>

      <mn>2</mn>

      <msqrt>

        <mn>3</mn>

      </msqrt>

    </mrow>

  </mfrac>  

</mrow>


((1)/(2sqrt3))
(C) 

<mspace width="1em"></mspace>


<mi>x</mi>

<mn>2</mn>


+

2

<mn>2</mn>


x

y

+

<mi>y</mi>

<mn>2</mn>


=

0



<mspace width="1em"></mspace>


<mi>x</mi>

<mn>2</mn>


+

2

<mn>2</mn>


x

y

+

<mi>y</mi>

<mn>2</mn>


=

0

quadx^(2)+2sqrt2xy+y^(2)=0		(III) 

<mn>1</mn>

<mn>2</mn>




<mn>1</mn>

<mn>2</mn>


(1)/(2)
(D) 

<mspace width="1em"></mspace>


3

<mi>x</mi>

<mn>2</mn>


+

4

<mn>2</mn>


x

y

+

<mi>y</mi>

<mn>2</mn>


=

0



<mspace width="1em"></mspace>


3

<mi>x</mi>

<mn>2</mn>


+

4

<mn>2</mn>


x

y

+

<mi>y</mi>

<mn>2</mn>


=

0

quad3x^(2)+4sqrt2xy+y^(2)=0		(IV) 

<mo data-mjx-texclass="OPEN">(</mo>

<mfrac>

  <mn>2</mn>

  <mn>3</mn>

</mfrac>

<mo data-mjx-texclass="CLOSE">)</mo>




<mrow>

  <mfrac>

    <mn>2</mn>

    <mn>3</mn>

  </mfrac>  

</mrow>


((2)/(3))
(V) 

<mn>1</mn>

<msqrt>

  <mn>2</mn>

</msqrt>




<mn>1</mn>

<msqrt>

  <mn>2</mn>

</msqrt>


(1)/(sqrt2)
\(\text { The correct match is }\)

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