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Prove that the lines (ii) px+qy-r=0 a...

Prove that the lines
(ii) `px+qy-r=0 and -4px-4qy+5s=0` are parallel.

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ICSE-THE STRAIGHT LINE -EXERCISE 16 (d)
  1. Write down the slopes of the following lines: 2x+3y+1=0

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  2. Write down the slopes of the following lines: 7x-5y+8=0

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  3. Write down the slopes of the following lines: -6y-11x=0

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  4. Write down the slopes of the following lines: x x(1)+yy(1)=a^(2)

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  5. Write down the slopes of the following lines: 3x+4y-2(x+x(1))-5(y+y...

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  6. Find the value of k such that the line (k-2)x+(k+3)y-5=0 is para...

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  7. Find the value of k such that the line (k-2)x+(k+3)y-5=0 perpendi...

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  8. Prove that the lines (i) 3x+4y-7=0 and 28x-21y+50=0 are mutually pe...

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  9. Prove that the lines (ii) px+qy-r=0 and -4px-4qy+5s=0 are parallel.

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  10. Find the slope of the line which is perpendicular to the line 7x+11y-2...

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  11. Determine the angle between the lines whose equation are 3x+y-7=0 a...

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  12. Determine the angle between the lines whose equation are 2x-y+3=0 an...

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  13. Use tables to find the acute angle between the lines 2y+x=0 and x/(1)+...

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  14. Reduce the following equations to the normal form and find the values ...

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  15. Reduce the following equations to the normal form and find the values ...

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  16. Put the equation 12y=5x+65 in the form x"cos"theta+y"sin"theta=p and i...

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  17. If Ax+By=C and x"cos"alpha+y"sin"alpha=p represent the same line, find...

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  18. Show that (2, -1) and (1, 1) are an opposite sides of 3x+4y=6.

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  19. The sides of a triangle are given by the equations 3x+4y=10, 4x-3y=5, ...

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  20. Find the calculation whether the points (13, 8), (26, -4) lie in the s...

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