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In what direction should a line be drawn...

In what direction should a line be drawn through the pont (1,2) so that its point of intersection with the lne x+y=4 is at a disatnce.`sqrt6/3` from the given point?

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Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+ y =4 may be at a distance of 3 units from this point.

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A straight line passes through the point A(1,2) and makes an angle theta with the positive direction of x -axis . Find theta given that the distance of A from the point of intersection of this line with the line x+y=4 "is"(sqrt(6))/(3) unit.

A straight line passes throught the point P(3,-2) and makes an angle theta with the positive direction of x - axis Find theta , given that the distance of P from the point of intersection of this line with the line 3x+4y=4 is (3sqrt(2))/(5) units.

UNITED BOOK HOUSE-JODHPUR PARK BOYS'S SCHOOL-EXERCISE
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  5. Prove that cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2

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  6. Solve :6x^2-(5+3i)x+11i-3=0in the complex plane C.

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  7. Find the sum of first n terms of the series:1/(1+1^2+1^4)+2/(1+2^2+2^4...

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  8. Find n, if the ratio of the fifth term from beginning to the fifth ter...

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  9. Find the natural number a for which sum(k=1)^nf(a+k)=16(2^n-1)where th...

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  10. The line joing two points A(2,0)and B(3,1)I rotated about A in anti cl...

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  11. In what direction should a line be drawn through the pont (1,2) so tha...

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  12. If (alpha^2,alpha)lies inside the triangle bounded by the lines x-5y+6...

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  13. Find the equations of the circles which passes through the origin and ...

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  14. Show that :tan(142(1^@/2))=2+sqrt2-sqrt3-sqrt6

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  15. If A+B+C=pi,prove that :cosA+cosB-cosC=-1+4cosA/2cosB/2sinC/2.

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  16. Solve :(|x+3|+x)/(x+2)>1,x inR,

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  17. Find principal amplitude of (1+itan((3pi)/5))

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  18. A square is draw by joing the mid points of the sides of a given squar...

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  19. On the portion of the line x+3y-3=0 which is intercepted between the c...

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  20. Find the locus of the midpoint of the chords of the parabola y^2=4ax.w...

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