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{:((5)/(x - 1) + (1)/(y - 2) = 2),((6)/(...

`{:((5)/(x - 1) + (1)/(y - 2) = 2),((6)/(x - 1) - (3)/(y - 2) = 1):}`

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The correct Answer is:
x = 4, y = 5
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If the line (x-1)/(-3) = (y-2)/(2k) = (z-3)/( 2) and (x-1)/( 3k) = (y-5)/(1) = (6-z)/(5) are mutually perpendicular, then k is equal to

The lines (x-1)/(3) = (y+1)/(2) = (z-1)/(5) and x= (y-1)/(3) = (z+1)/(-2)

The locus of the foot of the perpendicular from the origin on each member of the family (4a+ 3)x - (a+ 1)y -(2a+1)=0 (a) (2x-1)^(2) +4 (y+1)^(2) = 5 (b) (2x-1)^(2) +(y+1)^(2) = 5 (c) (2x+1)^(2)+4(y-1)^(2) = 5 (d) (2x-1)^(2) +4(y-1)^(2) = 5

The equation of the line through (1,1,1) and perpendicular to the plane 2x+3y-z=5 is (A) (x-1)/2=(y-1)/3=z-1 (B) (x-1)/2=(y-1)/3=(z-1)/(-1) (C) (x-1)/2=(y-1)/3=(z-1)/(5) (D) (x-1)/2=(y-1)/(-3)=z-1

The solution of (dy)/(dx)=((x-1)^2+(y-2)^2tan^(- 1)((y-2)/(x-1)))/((x y-2x-y+2)tan^(- 1)((y-2)/(x-1))) is equal to

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1) (x+3)/3=(y-5)/1=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/5 (3) (x-3)/3=(y+5)/1=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/5

The equation of the plane thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0

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If x_(1) = 3y_(1) + 2y_(2) -y_(3), " " y_(1)=z_(1) - z_(2) + z_(3) x_(2) = -y_(1) + 4y_(2) + 5y_(3), y_(2)= z_(2) + 3z_(3) x_( 3)= y_(1) -y_(2) + 3y_(3)," " y_(3) = 2z_(1) + z_(2) espress x_(1), x_(2), x_(3) in terms of z_(1) ,z_(2),z_(3) .

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NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3b
  1. {:((x)/(2) + y = 0.8),((7)/(x + (y)/(2)) = 10):}

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  2. {:((15)/(x) + (2)/(y) = 17),((1)/(x) + (1)/(y)= (36)/(5)):}

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  3. 1/16x+1/15y=9/20; 1/20x-1/27y=4/45

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  4. {:((10)/(x + y) - (4)/(x - y)= -2),((15)/(x + y) + (7)/(x - y) = 10):}

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  5. {:(2x + y = (7xy)/(3)),(x + 3y = (11xy)/(3)):}

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  6. Solve the following system of equations: 1/(2(x+2y))+5/(3(3x-2y))=(...

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  7. {:((4)/(x) + 3y = 14),((3)/(x) - 4y = 23):}

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  8. {:((5)/(x - 1) + (1)/(y - 2) = 2),((6)/(x - 1) - (3)/(y - 2) = 1):}

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  9. {:((2)/(sqrt(x))+ (3)/(sqrt(y)) = 2),((4)/(sqrt(x))-(9)/(sqrt(y)) = -1...

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  10. Solve the following system of equations: 2(3u-v)=5u v ,\ \ \ \ 2(u+...

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  11. {:(65x - 33y = 97),(33x - 65y = 1):}

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  12. Solve {:(13x + 11y = 70),(11x + 13y = 74):}

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  13. Solve for x and y {:(217x + 131y = 913),(131x + 217y = 827):}

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  14. {:(152x - 378y = -74),(-378x + 152y = -604):}

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  15. {:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

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  16. Solve: x/a+y/b=a+b x/(a^2)+y/(b^2)=2

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  17. Solve the following system of linear equations (with rational denomina...

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  18. Solve for x and y, (1)/(2x) - (1)/(y) = - 1 and (1)/(x) + (1)/(2y) ...

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  19. Solve the following system of equations: (7x-2y)/(x y)=5,\ \ \ (8x+...

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  20. Solve for (x - 1)^(2) and (y + 3)^(2), 2x^(2) - 5y^(2) - x - 27...

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