Home
Class 12
MATHS
Consider three planes P1:x-y+z=1, P2:x+y...

Consider three planes `P_1:x-y+z=1, P_2:x+y-z=-1,P_3,x-3y+3z=2` Let `L_1,L_2,L_3` be the lines of intersection of the planes `P_2 and P_3 and P-1,P_1 and P_2,` respectively.

A

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

B

Statement-1 is True, Statemcnt-2 is True, Statement-2 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

Promotional Banner

Topper's Solved these Questions

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Screening Tests

    A DAS GUPTA|Exercise Exercise|38 Videos

  • Total Conditional Probability and Bayes' Theorem

    A DAS GUPTA|Exercise Exercise|29 Videos

Similar Questions

Explore conceptually related problems

Consider three planes P_1 : x-y + z = 1, P_2 : x + y-z=-1 and P_3 : x-3y + 3z = 2 Let L_1, L_2 and L_3 be the lines of intersection of the planes P_2 and P_3, P_3 and P_1 and P_1 and P_2 respectively.Statement 1: At least two of the lines L_1, L_2 and L_3 are non-parallel The three planes do not have a common point

Consider three planes P_(1):x-y+z=1 P_(2):x+y-z=-1 and " "P_(3):x-3y+3z=2 Let L_(1),L_(2),L_(3) be the lines of intersection of the planes P_(2) and P_(3),P_(3) and P_(1),P_(1) and P_(2) respectively. Statement I Atleast two of the lines L_(1),L_(2) and L_(3) are non-parallel. Statement II The three planes do not have a common point.

Consider three planes p _(1): x-y+z=1, p _(1)P: x + y-z=-1 and p _(3) :x - 3y+ 3z =2. Let I_(1), I _(2), I _(3) the lines of intersection of the planes P _(2)and P _(3) , P _(3) and P _(1), P _(1) and P _(2), respectively. Statement I : Atleast two of the lines I_(1), I_(2) are non-parallel. Statement II : The three planes do not have a common point. For the following question, choose the correct answer from the codes (A), (B), (C ) and (D) defined as follows.

Consider the planes p _(1) : 2x + y+ z+4=0 p _(2) :y -z+4 =0 and p _(3) : 3x+ 2y +z+8=0 Let L_(1),I _(2), I_(3) be the lines of intersection of the planes P_(2)and P_(3), P_(3) and P _(1),P_(1) and P _(2) respectively. Then:

Consider the three planes P_1 :3x +15 y +21 z=9 , P_2 :x - 3y -z=5 , and P_3 : 2x +10y +14 z =5 then , which one of the following is true ?

Given planes P_1:cy+bz=x P_2:az+cx=y P_3:bx+ay=z P_1, P_2 and P_3 pass through one line, if

The equations of three planes are P_(1):x-2y+z-3=0, P_(2):5x-y-z-8=0 and P_(3):x+y-z-7=0 , then the common solution of the three planes is.

A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Let a,b,c,p,q be the real numbers. Suppose alpha,beta are the roots of...

    Text Solution

    |

  2. For the following question, choose the correct answer from the codes (...

    Text Solution

    |

  3. Consider three planes P1:x-y+z=1, P2:x+y-z=-1,P3,x-3y+3z=2 Let L1,L2,L...

    Text Solution

    |

  4. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |

  5. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

    Text Solution

    |

  6. Let f and g be real valued functions defined on interval (-1,\ 1) such...

    Text Solution

    |

  7. Match the integrals in Column I with the values in Column II and indi...

    Text Solution

    |

  8. In the following [x] denotes the greatest integer less than for equal ...

    Text Solution

    |

  9. Match the statement in Column I with the properties in Column II and ...

    Text Solution

    |

  10. Consider the following linear equations ax+ by+cz=0, bx+ cy+az=0, cx+ ...

    Text Solution

    |

  11. Let (x,y) be such that sin-1 (ax) + cos ^-1 (y) + cos ^-1 (bxy)=pi/2...

    Text Solution

    |

  12. Let f(x) =(x^2-6x +5) / (x^2 -5x +6) Match the statement in Column I w...

    Text Solution

    |

  13. Consider the lines give by L1: x+3y -5=0, L2:3x - ky-1=0, L3: 5x +2y ...

    Text Solution

    |

  14. Consider all possible permulations of letter of the word ENDEANOEL.

    Text Solution

    |

  15. Text Solution

    |

  16. Match the statements/expressions given in Column I with the values giv...

    Text Solution

    |

  17. Match the statements/expressions given in Column I with the values giv...

    Text Solution

    |

  18. Match the statements/expressions given in Column I with the values giv...

    Text Solution

    |

  19. Match the statements/expressions given in Column I with the values giv...

    Text Solution

    |

  20. Match the statements/expressions given in Column I with the values giv...

    Text Solution

    |