Home
Class 12
MATHS
If the equations 2x-lambday+5z=7 and lam...

If the equations `2x-lambday+5z=7 and lambda x-8y-10z+14=0` represent the same plane then `lambda` is :

A

`sqrt(29)`

B

`-4 `

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.10|25 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos
  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mudot

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot

If the lines 3x + 4y+ 1 = 0, 5x +lambda y + 3 = 0 and 2x + y-1 = 0 are concurrent, then lambda=

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negative roots, then the least value of lambda equals__________.

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Choose the correct answer)
  1. The vector vec(AB)=3hati+2hatj+2hatk and vec(BC)= - hati-2hatk are adj...

    Text Solution

    |

  2. If the angle between the lines having direction ratios (alpha, 3,5) an...

    Text Solution

    |

  3. Let a, b, c be distinct non negative numbers. The vectors ahati+a hatj...

    Text Solution

    |

  4. hati *(hatj xx hatk) +hatj(hatk xx hati) +hatk (hati xx hatj) is :

    Text Solution

    |

  5. If veca is any vector then the value of Sigma (veca xx veci)^(2) is :

    Text Solution

    |

  6. If (1-p)hati+2(1+p)hatj+(3+p)hatk and 3hati+hatj are at right angle to...

    Text Solution

    |

  7. [veca, veca+vecb, veca+vecb+vecc] is :

    Text Solution

    |

  8. The sum of the projection of 2hati+hatj+2hatk on the coordinate axis i...

    Text Solution

    |

  9. If veca=hati-2hatj+hatk, vecb=hati+2hatj+3hatk, vec c=3hati+2hatj+hatk...

    Text Solution

    |

  10. veca=2hati+3hatj-hatk vecb=hati-hatj-m hatk vec c= -hati+2hatj+hat...

    Text Solution

    |

  11. The work done by the force vecF=2hati-3hatj+2hatk in moving a particle...

    Text Solution

    |

  12. The area of the triangle formed by the points where position vector ar...

    Text Solution

    |

  13. veca=hati-hatj+hatk, vecb=2hati+hatj-hatk, vec c=lambda hati-hatj+lamb...

    Text Solution

    |

  14. If the equations 2x-lambday+5z=7 and lambda x-8y-10z+14=0 represent th...

    Text Solution

    |

  15. Find the odd one out in the following :

    Text Solution

    |

  16. Find the correct statement in the following given four points A, B, C,...

    Text Solution

    |

  17. If veca and vecb lie in one plane and vec c and vecd lie on another pl...

    Text Solution

    |

  18. If (veca xx vecb)xx vecc= veca xx (vecb xx vecc) and vecb perpendicula...

    Text Solution

    |

  19. Find which one is not correct statement.

    Text Solution

    |

  20. Identify correct pair from the following. (i) veca xx (vecb xx vecc)...

    Text Solution

    |