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If the equations y=m x+c and xcosalpha+y...

If the equations `y=m x+c` and `xcosalpha+ysinalpha=p` represent the same straight line, then (a)`p=csqrt(1+m^2)` (b) `c=psqrt(1+m^2)` (c)`c p=sqrt(1+m^2)` (d) `p^2+c^2+m^2=1`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  8. Find the equation of the line which intersects the y-axis at a distanc...

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  9. Find the locus of the point at which two given portions of the straigh...

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  13. Find the equations of the diagonals of the square formed by the lines ...

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  14. Find the equation of the straight line that passes through the point (...

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  15. Find the equation of the line which is parallel to 3x-2y+5=0 and passe...

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  16. Consider two lines L1a n dL2 given by a1x+b1y+c1=0a n da2x+b2y+c2=0 ...

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  17. Find the locus of a point P which moves such that its distance from th...

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  18. Consider two lines L1a n dL2 given by x-y=0 and x+y=0 , respectively, ...

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  19. In what ratio does the line joining the points (2,3) and (4,1) divide ...

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