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Find the set of values of a if the points `(1,2)` and `(3,4)` lie to the same side of the straight line `3x-5y+a=0`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-STRAIGHT LINE -TEXTUAL EXERCISES (EXERCISE-3(c))
  1. A straight line meets the coordinate axes in A and B. Find the equatio...

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  2. A straight line meets the co-ordinate axes at A and B. Find the equati...

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  3. A straight line meets the co-ordinate axes at A and B. Find the equati...

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  4. Find the equation of the straight line passing through the points (-1,...

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  5. A triangle of area 24 sq. units is formed by a straight line with the ...

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  6. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

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  7. Find the set of values of a if the points (1,2) and (3,4) lie to the s...

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  8. Show that the lines 2x+y-3=0, 3x+2y-2=0 and 2x-3y-23=0 are concurrent ...

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  9. Find the value of p, if the lines 3 x + 4 y = 5 , 2 x + 3y = 4 , px + ...

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  10. Find the value of 'p' if the lines 4x-3y-7=0 ,2x+py+2=0 and 6x+5y-1=0 ...

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  11. Determine whether or not the four straight lines with equations x+2y-3...

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  12. If 3a+2b+4c=0 then show that the equation ax+by+c=0 represents a famil...

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  13. If non zero numers a,b,c are in harmonic progression, the show that th...

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  14. Find the point on the straight line 3x+y+4=0 which is equidistant from...

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  15. A straight line through P(3,4) makes an angle of 60^(@) with the posit...

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  16. A straight line through Q(sqrt(3),2) makes an angle pi//6 with positiv...

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  17. Show that the origin is within the triangle whose angular ponts are (2...

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  18. A straight line through Q(2,3) makes an angle (3pi)/4 with the negati...

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  19. Show that the straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form an isos...

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  20. Area of the triangle formed by the lines 2x-y-5=0, x-5y+11=0, x+y-1=0 ...

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