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The equation to the perpendicular from the point `(alpha, beta gamma)` to the plane `ax+by+cz+d=0` is

A

`(x-a)/(a alpha) =(y-b)/(b beta)=(z-c)/(c gamma)`

B

`x/a=y/b=z/c`

C

`(x-alpha)/(a)=(y-beta)/(b)=(z-lamda)/©`

D

`(x)/(alpha)=(y)/(beta)=(z)/(gamma)`

Text Solution

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The correct Answer is:
C

Equation of line which is passing through `(alpha, beta, gamma)` and perpendicular to the plane `ax+by+cz+d=0` is
`(x-alpha)/(a)=(y-beta)/(b)=(z-gamma)/(c)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 18-PAPER 2 (MATHEMATICS)
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  2. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

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  3. If p to (qvvr) is false, then the truth values of p,q, and r are, res...

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  4. Which of the following is not a proposition ?

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  5. The maximum value of Z = 4x + 2y subject to the constraints 2x+3y le ...

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  6. If |a|lt1|b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))...

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  7. In a Delta ABC " if " |(1,a,b),(1,c,a),(1,b,c)| =0, then sin^(2) A + s...

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  8. The probability that in the toss of two dice, we obtain the sum 7 or 1...

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  9. int(x^(e-1)+e^(x-1))/(x^(e)+e^(x)) dx is equal to

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  10. The area of the quadrilateral formed by the tangents at the end points...

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  11. lim(n to oo) ((1)/(n)+(1)/(n+1)+...+(1)/(3n)) is equal to

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  12. lim(x to 0)((x)/(sqrt(1+x)-sqrt(1-x))) is equal to

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  13. The equations 2x-3y+6z=4, 5x+7y-14z=1 3x+2y-4z=0, have

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  14. The equation of the plane containing the two lines (x-1)/2=(y+1)/(-1...

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  15. If 2 tan ^(-1)(cos x )=tan ^(-1)(2 cosec x), then the value of x is

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  16. The value of int(2x+2)/((x-2)^(2)(x-3))dx is

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  17. Find the intervals in which the function f(x)=log(1+x)-(2x)/(2+x) is i...

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  18. The equation to the perpendicular from the point (alpha, beta gamma) t...

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  19. The solution of the differential equation (dy)/(dx)-y tan x=e^(x)sec x...

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  20. The value of int (0)^(pi//2)(sin ^(2)x-cos ^(2)x)/(sin ^(3)x+cos^(3)x...

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