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Solve : (1)/(2x)+(1)/(4y)-(1)/(3z)=(1)/(...

Solve : `(1)/(2x)+(1)/(4y)-(1)/(3z)=(1)/(4),(1)/(x)=(1)/(3y),(1)/(x)-(1)/(5y)+(4)/(z)=2 (2)/(15)`

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The correct Answer is:
`=2`.
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Solve : (1)/(x)+(2)/(y)-(1)/(z)=1 (2)/(x)+(4)/(y)+(1)/(z)=5 (3)/(x)-(2)/(y)-(2)/(z)=0 Using Crammer's rule.

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Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular to the line l whose equation is (x-2)/1=(y-2)/(-1)=(z-3)/(-2) and which passes through the point of intersection of l and pi is (A) (x-2)/1=(y-1)/5=(z-1)/(-1) (B) (x-1)/3=(y-3)/5=(z-5)/(-1) (C) (x+2)/2=(y+1)/(-1)=(z+1)/1 (D) (x-2)/2=(y-1)/(-1)=(z-1)/1

Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z/3 to the plane x + y + z=3 The feet of perpendiculars lie on the line (a) x/5=(y-1)/8=(z-2)/(-13) (b) x/2=(y-1)/3=(z-2)/(-5) (c) x/4=(y-1)/3=(z-2)/(-7) (d) x/2=(y-1)/(-7)=(z-2)/5

NCERT TAMIL-ALGEBRA -Unit Exercise - 3
  1. Solve : (1)/(2x)+(1)/(4y)-(1)/(3z)=(1)/(4),(1)/(x)=(1)/(3y),(1)/(x)-(1...

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  2. Solve (1)/(3)(x+y-5)=y-z=2x-11=9-(x+2z)

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  3. One hundred and fifty students are admitted to a school. They are dis...

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  4. In a three-digit number, when the tens and the hundreds digit are inte...

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  5. Find the least common multiple of xy(k^(2)+1)+k(x^(2)+y^(2))andxy(k^(2...

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  6. Find the GCD of the following by division algorithm 2x^(4)+13x^(3)+...

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  7. Reduce the given Rational expressions to its lowest form (x^(3a)-8)/(...

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  8. Reduce the given Rational expressions to its lowest form (10x^(3)-2...

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  9. Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))xx(1+(q^(2)+r^(2)-p^(2...

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  10. Arul, Ravi and Ram working together can clean a store in 6 hours. Wor...

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  11. Find the square root of 239x^(4)-612x^(3)+970x^(2)-684x+361.

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  12. Solve sqrt(y+1)+sqrt(2y-5)=3

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  13. A boat takes 1.6 hours longer to go 36 kms up a river than to return. ...

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  14. Is it possible to design a rectangular park of perimeter 320 m and are...

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  15. At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less th...

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  16. The number of seats in a row is equal to the total number of rows in a...

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  17. If alphaandbeta are the zeroes of the polynomial f(x)=x^(2)-2x+3, fin...

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  18. If alphaandbeta are the zeroes of the polynomial f(x)=x^(2)-2x+3, fin...

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  19. If -4 is root of the equation x^(2)+px-4=0 and the equation x^(2)+px+q...

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  20. If costheta({:(costheta,sintheta),(-sintheta,costheta):})xxsintheta({:...

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  21. Given A=({:(p,0),(0,2):}),B=({:(0,-q),(1,0):}),C=({:(2,-2),(2,2):})and...

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