Joint equation of two lines through the origin, such that one is parallel to line `x+2y=5` and the other perpendicular to line `2x-y+3=0` isA. `x^(2)-4x-4y^(2)=0`B. `x^(2)-4xy+4y^(2)=0`C. `x^(2)+4xy-4y^(2)=0`D. `x^(2)+4xy+4y^(2)=0`

Joint equation of two lines through the origin, such that one is paral

1.	Joint equation of two lines through the origin, such that one is parallel to line `x+2y=5` and the other perpendicular to line `2x-y+3=0` isA. `x^(2)-4x-4y^(2)=0`B. `x^(2)-4xy+4y^(2)=0`C. `x^(2)+4xy-4y^(2)=0`D. `x^(2)+4xy+4y^(2)=0`
Answer» Correct Answer - D

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The angle between the lines `2x^2-7x y+3y^2=0`is`60^0`2. `45^0`3. `tan^(-1)(7//6)`4. `30^0`A. `60^(@)`B. `45^(@)`C. `tan^(-1)((7)/(6))`D. `30^(@)`
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The two lines represented by `3a x^2+5x y+(a^2-2)y^2=0`are perpendicular to each other fortwo values of `a`(b) afor one value of `a`(d) for no values of `a`A. two values of aB. for one value of aC. for one value of aD. for no value of a
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Find the measure of the acute angle between the lines represented by `(a^(2) - 3b^(2)) x^(2) + 8abxy + (b^(2) - 3a^(2)) y^(2) = 0.`A. `(pi)/6`B. `(pi)/4`C. `(pi)/3`D. `(pi)/2`