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Statement-1 : The point A(1, 0, 7) is th...

Statement-1 : The point A(1, 0, 7) is the mirror image of the point B(1, 6, 3) in the line : `x/1=(y-1)/2=(z-2)/3` Statement-2 : The line : `x/1=(y-1)/2=(z-2)/3` bisects the line segment joining A(1, 0, 7) and B(1, 6, 3).

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Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,6, 3) in the line (x)/(1)=(y-1)/(2)=(z-2)/(3) . Statement-II The line (x)/(1)=(y-1)/(2)=(z-2)/(3) bisect the line segment joining A(1, 0, 7) and B(1, 6, 3) .

Find the image of the point (1,6,3) in the line (x)/(1)=(y-1)/(2)=(z-2)/(3)

Find the image of the two point (1,6,3) in the line (x)/(1)=(y-1)/(2)=(z-3)/(3)

Assertion: The point A(1,0,7) is the mirror image of the point B(1,6,3) in the line x/1=(y-1)/2=(z-2)/3 Reason: The line x/1=(y-1)/2=(z-2)/3 bisects the segment joining A(1,0,7) and B(1,6,3). (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: The point A(1,0,7) is the mirror image of the point b(1,6,3) in the line x/1=(y-1)/2=(z-2)/3 Reason: The line x/1=(y-1)/2=(z-2)/3 bisects the segment joining A(1,0,7) and B(1,6,3). (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) .

Statement-1: The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x""""y""+""z""=""5 . Statement-2: The plane x x""""y""+""z""=""5 bisects the line segment joining A(3, 1, 6) and B(1, 3, 4). (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

JEE MAINS PREVIOUS YEAR-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If a line makes an angle of pi/4 with the positive directions of ea...

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  2. The line passing through the points (5, 1, a) and (3, b, 1) crosses...

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  3. If straight lines (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z-1)/2 ...

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  4. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x""+""3y"...

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  5. Statement-1: The point A(3, 1, 6) is the mirror image of the poi...

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  6. A line AB in three-dimensional space makes angles 45^o and 120^o wi...

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  7. Statement-1 : The point A(1, 0, 7) is the mirror image of the point B(...

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  8. If the angle between the line x=(y-1)/2=(z-3)/lambda and the plane ...

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  9. An equation of a plane parallel to the plane x""""2y""+""2z""""5""=""0...

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  10. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

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  11. Distance between two parallel planes 2x""+""y""+""2z""=""8 and 4x"...

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  12. If the lines (x-2)/1=(y-3)/1=(x-4)/(-k) and (x-1)/k=(y-4)/2=(x-5)/1 a...

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  13. The angle between the lines whose direction cosines satisfy the equ...

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

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  15. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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  16. The distance of the point (1, 0, 2) from the point of intersection ...

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  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the plane, l x+m y-z=9...

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  19. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  20. The distance of the point (1,3,-7) from the plane passing through the ...

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