A line passes through (2,0). Then which of the following is not the slope of the line, for which its intercept between `y=x-1` and `y=-x+1` subtends a right angle at the origin?A. `-(1)/(sqrt(3))`B. `-sqrt(3)`C. `(1)/(sqrt(3))`D. None of these

A line passes through (2,0). Then which of the following is not the sl

1.	A line passes through (2,0). Then which of the following is not the slope of the line, for which its intercept between `y=x-1` and `y=-x+1` subtends a right angle at the origin?A. `-(1)/(sqrt(3))`B. `-sqrt(3)`C. `(1)/(sqrt(3))`D. None of these
Answer» Correct Answer - B The joint equation of straight line `y = x -1` and `y =- x +1` is `(x-y-1) (x+y-1) =0` `rArr x^(2) -y^(2) -2x +1 =0` (i) Let equation of line passes through (2,0) is `y = m (x-2)` By homogenizing equation (i) with help of line (ii), we get `x^(2)-y^(2)-2x ((mx-y)/(2m)) +((mx-y)/(2m))^(2) =0` This is pair of straight line through origin. Since these lines are perpendicular, Coefficiennt of `x^(2) +` coefficient of `y^(2) =0` `rArr m = +- (1)/(sqrt(3))`

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If acute angle between lines `x^(2)-2hxy+y^(2)=0` is `60^(@)` then `h=`A. `-2`B. `+-2`C. `2`D. `sqrt(3)`
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Find the value of `a`for which the lines represented by `a x^2+5x y+2y^2=0`are mutually perpendicular.
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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