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Find the equations of the lines, which c...

Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are `1` and `-6` , respectively.

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To find the equations of the lines that cut off intercepts on the axes whose sum is \(1\) and product is \(-6\), we can follow these steps: ### Step 1: Define the intercepts Let the x-intercept be \(a\) and the y-intercept be \(b\). According to the problem, we have the following two equations: 1. \(a + b = 1\) (sum of intercepts) 2. \(ab = -6\) (product of intercepts) ### Step 2: Express \(a\) in terms of \(b\) ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the values of k for which the line (k-3)x-(4-k^2) y+k^2-7k+6=0 is...

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  2. Find the values of 6 and p, if the equation xcostheta-ysintheta=p is t...

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  3. Find the equations of the lines, which cut-off intercepts on the axes ...

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

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

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  6. Find the equation of the line parallel to y-axis and drawn through the...

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

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

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

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

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

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

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  13. Show that the equation of the straight line through the origin angle v...

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

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

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

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

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

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  19. If the lines y" "=" "3x" "+" "1 and 2y" "=" "x" "+" "3 are equally ...

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  20. If sum of the perpendicular distances of a variable point P (x , y)fr...

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