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Find the value of m for which the lines ...

Find the value of `m` for which the lines `m x+(2m+3)y+m+6=0a n dm x+(2m+1)x+(m-6)y+9=0` intersect at a; point on `y-a xi sdot`

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To find the value of \( m \) for which the lines intersect at a point on the y-axis, we will follow these steps: ### Step 1: Write down the equations of the lines The equations of the lines are given as: 1. \( mx + (2m + 3)y + (m + 6) = 0 \) 2. \( mx + (2m + 1)x + (m - 6)y + 9 = 0 \) ### Step 2: Substitute \( x = 0 \) into both equations ...
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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the equation of two straight lines which are parallel to x+7y+2=0...

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  2. Show that the lines 4x+y-9=0,x-2y+3=0,5x-y-6=0 make equal intercepts o...

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  3. Find the value of m for which the lines m x+(2m+3)y+m+6=0a n dm x+(2m+...

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  4. The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n...

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  5. A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0 and x-y-5=0 ...

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  6. Explain BPT Theorem

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  7. Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...

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  8. Find the distance of the point (2,3) from the line 2x-3y+9=0 measured ...

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  9. The line joining two points A(2,0) and B(3,1) is rotated about A in an...

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  10. Find the direction in which a straight line must be drawn through th...

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  11. Show that the equations of the straight lines passing through the poin...

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  12. A vertex of an equilateral triangle is (2,3) and the opposite side is...

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  13. Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0 and 2x-...

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  14. If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0 are concurrent (a!=b!=c!...

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  15. If the straight line x/a+y/b=1 passes through the line point of inters...

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  16. Find the orthocentre of the triangle the equations of whose sides are ...

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  17. Two vertices of a triangle are (3,-1)a n d(-2,3) and its orthocentre i...

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  18. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0. If t...

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  19. Find the equation of the straight line passing through the point of ...

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  20. Show that the line x-y-6=0,4x-3y-20=0 and 6x+5y+8=0 are concurrent. Al...

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