Home
Class 12
MATHS
STATEMENT-1 : The direction ratios of a ...

STATEMENT-1 : The direction ratios of a line joining the points (0, 0, 0) and (x, y, z) must be x, y, z.
and
STATEMENT-2 : If P(x, y, z) is a point is space and `OP=r` then direction cosines of OP are `x/r, y/r, z/r`,.

A

Statement-1 is True, Statement-2 is true, Statement- is a correct explanation for Statement -1

B

Statement-1 is True, Statement-2 is true, Statement- is NOT a correct explanation for Statement -1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - F|4 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - G|7 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D COMPREHENSION VI|3 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

Assertion: The direction ratios of the line joining orign and point (x,y,z) are x,y,z., Reason: If O be the origin and P(x,y,z) is a point in space and OP =r then direction cosines of OP are x/r,y/r,z/r. (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.

Find the direction cosines of x, y and z-axis.

Find the direction cosines of x, y and z-axis.

The direction ratios of the line of intersection of the planes x-y+z+3 =0 and x-3y -5 =0 are

The direction ratios of the line x-y+z-5=0=x-3y-6 are

The direction cosines of the line x-y+2z=5, 3x+y+z=6 are

The direction ratio's of the line x- y+z-5=0=x-3y -6 are

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

Equation of the line through the point (1, 1, 1) and intersecting the lines 2x-y-z-2=0=x+y+z-1 and x-y-z-3=0=2x+4y-z-4 .