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If the acute angle between the lines 4x-...

If the acute angle between the lines `4x-y+7=0, kx+5y-9=0` is `45^(@)`, then the value of k is

A

`-3, 25//3`

B

`1, -4 `

C

2 or `-1//2`

D

5 or `2//3`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. If theta is the angle between y=2x+3, y=x+1, the value of tan theta=

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  2. The angle between the line joining the points (1, -2), (3, 2) and the ...

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  3. If the acute angle between the lines 4x-y+7=0, kx+5y-9=0 is 45^(@), th...

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  4. If the acute angle between the lines 2x+3y-5=0, 5x+ky-6=0 is pi//4, th...

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  5. If 2x+ky-10=0, 5x+2y-7=0 are parallel, then the value of k =

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  6. If 3x-ky-2=0, 2x+y+2=0 are perpendicular, then the value of k =

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  7. A line passing through the points (a, 2a) and (-2, 3) is perpendicular...

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  8. The value of k such that the straight line (2x+3y+5)+k(x-7y+6)=0 is pa...

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  9. The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-...

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  10. The value of k such that the straight line 3x+14y+7+k(5x+7y+6)=0 is pe...

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  11. The value of k such that the line 2x+3y+4+k(6x-y+12)=0 is perpendicula...

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  12. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are per...

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  13. If the straight liine a(x+y-1)+b(2x-3y+1)=0 for different values of a ...

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  14. The diagonals of the parallelogrma formed by the lines a(1)x+b(1)y+c(1...

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  15. The diagonals of the parallelogram whose sides are lx+my+n=0, lx+my+n(...

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  16. The angle between the diagonals of the parallelogram formed by the lin...

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  17. The angles of the triangle formed by the lines 5x+3y-15=0, x+y-4=0, ...

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  18. The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab , and x+y=0 form an is...

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  19. Show that the straight lines (a-b)x+(b-c)y=c-a,(b-c)x+(c-a)y=a-b and (...

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  20. Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right an...

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