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In what ratio, the line joining (1, -1)a...

In what ratio, the line joining `(1, -1)`and `(5, 7)`is divided by the line `x+y=4`?

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To find the ratio in which the line joining the points (1, -1) and (5, 7) is divided by the line \(x + y = 4\), we will use the section formula. Here are the steps to solve the problem: ### Step 1: Identify the Points Let the points be: - \(A(1, -1)\) - \(B(5, 7)\) ### Step 2: Assume the Ratio ...
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NCERT-STRAIGHT LINES-MISCELLANEOUS EXERCISE
  1. A ray of light passing through the point (1, 2) reflects on the x–axi...

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

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  3. The hypotenuse of a right angled triangle has its ends at the points (...

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  4. In what ratio, the line joining (1, -1)and (5, 7)is divided by the lin...

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  5. Find the distance of the line 4x+7y+5=0 from the point (1,2) along th...

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  6. If three lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3are c...

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  7. Find the equation of the lines through the point (3, 2) which make an...

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  8. Find the equation of the line passing through the point of intersecti...

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  9. Show that the equation of the passing through the origin and making a...

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  10. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

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  11. If the lines y=3x+1and 2y=x+3are equally inclined to the liney=mx+4, ...

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  12. Find the equation of a line drawn perpendicular to the line x/4+y/6=1t...

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  13. Find the equation of the line parallel to yaxis and drawn through the...

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  14. Find perpendicular distance from the origin of the line joining the p...

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  15. What are the points on the yaxis whose distance from the line x/3+y/4=...

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  16. Find the equations of the lines, which cutoff intercepts on the axes ...

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  17. Find the values of theta and p, if the equation xcostheta+ysintheta...

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  18. Find the values of k for which the line (k-3)x-(4-k^2)y+k^2-7k+6=0is (...

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  19. Find the value of p so that the three lines 3x + y -2 = 0,p x + 2 y -...

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  20. Find the area of the triangle formed by the lines y-x=0,x+y=0and x-k=0...

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