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Find the values of theta and p, if th...

Find the values of ` theta ` and p, if the equation `xcostheta+ysintheta=p`is the normal form of the line `sqrt(3)x+y+2=0`.

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To find the values of `theta` and `p` for the equation \( x \cos \theta + y \sin \theta = p \) being the normal form of the line \( \sqrt{3}x + y + 2 = 0 \), we will follow these steps: ### Step 1: Rewrite the given line in the standard form The given line is: \[ \sqrt{3}x + y + 2 = 0 \] We can rewrite it as: ...
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NCERT-STRAIGHT LINES-MISCELLANEOUS EXERCISE
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  2. Find the direction in which a straight line must be drawn through the...

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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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