EASY
12th CBSE
IMPORTANT
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If the directions cosines of a line are k, k, k, then

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Important Questions on Three Dimensional Geometry

EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 31
The distance of the plane r→·27i^+37j^-67k^=1 from the origin is
HARD
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 32
The sine of the angle between the straight line x-23=y-34=z-45 and the plane 2x-2y+z=5 is
EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 33
The reflection of the point (α, β, γ) in the x y-plane is
EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 34
The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3,-1), C(4, 5, 0) and D(2, 6, 2) is equal to
EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 35
The locus represented by xy+yz=0 is
EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 36
The plane 2x-3y+6z-11=0 makes an angle sin-1(α) with x-axis. The value of α is equal to
EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 37
The equation of a plane passing through the points (2, 0, 0),(0, 3, 0) and (0, 0, 4) is 6x+4y+3z=a. Then the value of a is _____.
EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 11 - Three Dimensional Geometry>EXERCISE>Q 38
The direction cosines of the vector (2i^+2j^-k^) are 23,23,-t. Then, t=_____