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Assertion : The distance between the str...

Assertion : The distance between the straight lines `y=mx+c_(1),y=mx+c_(2)` is `|c_(1)-c_(2)|impliesm=0`
Reason : The distance between parallel lines `ax+by+c_(1)=0,ax+by+c_(2)=0` is `(|c_(1)-c_(2)|)/(sqrt(a^(2)+b^(2)))`
Then the correct answer

A

A, R are correct, R is correct explanation of A

B

A,R are correct, R is not correct explanation of A

C

A is true, R is false

D

A is false, R is true

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. The figure formed by the lines 2x-5y+4=0, 5x+2y+7=0, 2x-5y+3=0, 5x+2y-...

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  2. The figure formed by the lines 2x+5y+4=0, 5x+2y+7=0, 2x+5y+3=0and 5x+2...

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

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

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  5. The area of the quadrilateral formed by thelines 4x-7y-13=0, 8x-y-39=0...

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  6. The area of the quadrilateral formed by the lines a|x|+b|y|+c=0 is

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  7. The number of lines that can be drawn through the point (4, -5) at a d...

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  8. The number of lines that can be drawn through the point (4, sqrt(13)) ...

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  9. The vertices A and B of a triangle ABC are (2,5),(4,-11),C moves on th...

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  10. The image of the lie x+y-2=0 in the y-axis is

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  11. The equation of the line segment AB is y=x. If A and B lie on same sid...

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  12. Statement I : The ratio in which L=ax+by+c=0 divides the line segmen...

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  13. Write the ascending order of the distance between the parallel lines ...

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  14. In the triangle with vertices at a(6,3),B(-6,3),C(-6,-3), the median t...

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  15. Assertion : The distance between the straight lines y=mx+c(1),y=mx+c(2...

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  16. The combined equation of the straight lines of the form y = kx + 1 (wh...

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  17. Find the value of k , if the straight lines y-3kx+4=0 and (2k-1)x+ (8...

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  18. The length of the segment of the straight line passing through (3,3) a...

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  19. If the lines x+3y-9=0, 4x+by-2=0, and 2x-y-4=0 are concurrent, then th...

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  20. The distance from the orgin to the image of (1,1) with respect to the ...

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