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Find the value of p so that the three l...

Find the value of p so that the three lines `3x + y + 2 = 0`, `p x + 2 y - 3 = 0`and `2x + y+ 3 = 0`may intersect at one point.

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To find the value of \( p \) such that the three lines \( 3x + y + 2 = 0 \), \( px + 2y - 3 = 0 \), and \( 2x + y + 3 = 0 \) intersect at one point, we can follow these steps: ### Step 1: Write the equations of the lines The equations of the lines are: 1. \( L_1: 3x + y + 2 = 0 \) 2. \( L_2: px + 2y - 3 = 0 \) 3. \( L_3: 2x + y + 3 = 0 \) ...
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NCERT ENGLISH-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 f a right isosceles 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 line...

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

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  6. Find the conditions that the straight lines y=m1x+c1, y=m2x+c2a n d\ y...

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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 intersectio...

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

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

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  11. If the lines y = 3x +1 and 2y = x +3 are equally inclined to the line ...

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

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  13. Find the equation of the line parallel to y-axis 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 y-axis whose distance from the line x/3+y/4=1\ ...

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  16. Find the equations of the lines, which cut-off 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=0 is...

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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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