Home
Class 12
MATHS
In a three-dimensional x y z space , the...

In a three-dimensional `x y z` space , the equation `x^2-5x+6=0` represents a. Points b. planes c. curves d. pair of straight lines

A

points

B

planes

C

curves

D

pair of straight lines

Text Solution

Verified by Experts

The correct Answer is:
b

`x^(2)-5x+6=0`
`impliesx-2=0,x-3=0`
which represents planes.
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|17 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise REASONING TYPE|10 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise SUBJECTIVE TYPE|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise All Questions|294 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos

Similar Questions

Explore conceptually related problems

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

The value of k for which the equation 2x^2+5y^2-2kxy+4x+6y=0 represent the pair of straight lines is

The equation x^2-x-2=0 in three dimensional space is represented by (A) a pair of parallel planes (B) as pair of straight lines (C) a pair of perpendicular planes (D) a set containing two distinct points

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

The value of lambda for which the equation x^2-y^2 - x - lambda y - 2 = 0 represent a pair of straight line, are

The equation xy=0 in three dimensional space is represented by (A) a plane (B) two planes at righat angles (C) a pair of parallel planes (D) a pair of straighat lines

The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of straight lines c. a circle of non zero radius d. none of these

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a)a pair of straight lines and a circle (b)a pair of straight lines and a parabola (c)a set of four straight lines forming a square (d)none of these

CENGAGE ENGLISH-THREE-DIMENSIONAL GEOMETRY -SINGLE CORRECT ANSWER TYPE
  1. In a three-dimensional x y z space , the equation x^2-5x+6=0 represent...

    Text Solution

    |

  2. The line (x-2)/3=(y+1)/2=(z-1)/1 intersects the curve x y=c^(2),z=0 th...

    Text Solution

    |

  3. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

    Text Solution

    |

  4. The length of the perpendicular from the origin to the plane passing t...

    Text Solution

    |

  5. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

    Text Solution

    |

  6. The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda)hat...

    Text Solution

    |

  7. A unit vector parallel to the intersection of the planes vecr.(hati-ha...

    Text Solution

    |

  8. Let L(1) be the line vecr(1)=2hati+hatj-hatk+lamda(hati+2hatk) and let...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

    Text Solution

    |

  11. The intercept made by the plane vec rdot vec n=q on the x-axis is ...

    Text Solution

    |

  12. Equation of a line in the plane pi-=2x-y+z-4=0 which is perpendicula...

    Text Solution

    |

  13. If the foot of the perpendicular from the origin to plane is P(a ,b ...

    Text Solution

    |

  14. The equation of the plane which passes through the point of interse...

    Text Solution

    |

  15. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

    Text Solution

    |

  16. Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of ...

    Text Solution

    |

  17. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

    Text Solution

    |

  18. The coordinates of the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  19. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

    Text Solution

    |

  20. The length of projection of the line segment joining the points (1,0,-...

    Text Solution

    |