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A line passes through the point (6, -7, ...

A line passes through the point `(6, -7, -1) and (2, -3, 1).` The direction cosines of the line so directed that the angle made by it with the positive direction of x-axis is acute, are

A

`(2)/(3), -(2)/(3), -(1)/(3)`

B

`-(2)/(3), (2)/(3), (1)/(3)`

C

`(2)/(3), -(2)/(3), (1)/(3)`

D

`(2)/(3), (2)/(3), (1)/(3)`

Text Solution

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. A(3, 2, 0), B(5, 3, 2) and C(-9, 8, -10) are the vertices of a triangl...

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  3. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  4. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

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  5. The direction cosines of the lines bisecting the angle between the lin...

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  6. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

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  7. The locus of a point which moves so that the difference of the squares...

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  8. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  9. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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  10. Let L1 be the line r1=2hat(i)+hat(j)-hat(k)+lambda(hat(i)+2hat(k)) and...

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  11. For the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3), which one of the following...

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  12. The value of m for which straight line 3x-2y+z+3=0=4x-3y+4z+1 is paral...

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  13. The length of projection of the line segmet joining the points (1, 0,...

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  14. The number of planes that are equidistant from four non-coplanar po...

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  15. In a three dimensional co-odinate , P, Q and R are images of a point A...

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  16. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  17. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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  18. The point of intersecting of the line passing through (0, 0, 1) and in...

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  19. Two system of rectangular axes have the same origin. If a plane cuts t...

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  20. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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