Home
Class 12
MATHS
If the vectors veca= 3x hati+4y hatj-12h...

If the vectors `veca= 3x hati+4y hatj-12hatk` and `vecb=3x hati-4y hatj+12hatk` are mutually perpendicular, then the locus of the point (x, y) is a/an -

A

ellipse

B

circle

C

parabola

D

hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perpendicular to each other , then the value of m is

If veca = xhati +2 hatj-zhatk and vecb = 3hati -y hatj+hatk are two equal vecots then find the value of x+y+z

Determine the value of n so that the vectors vecA=2hati+4hatj-nhatk and vecB=3hati-4hatj+2hatk are perpendicular .

Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+hatj-hatk .

Find |vecaxxvecb| , if veca=2hati-7hatj+7hatk and vecb=3hati-2hatj+2hatk

Given two vectors veca= -hati +hatj + 2hatk and vecb =- hati - 2 hatj -hatk find |vec a xx vec b|

Given two vectors veca=-hati + 2hatj + 2hatk and vecb =- 2hati + hatj + 2hatk find |vec a xx vec b|

Given veca=2hati+lambda hatj+hatk and vecb=hati+2hatj+3hatk are two perpendicular vectors, find lambda .

Given two vectors veca=-hati + 3hatj + hatk and vecb =- 3hati + hatj + hatk find |vec a xx vec b|

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. The acute angle between the straight lines whose direction numbers ar...

    Text Solution

    |

  2. The vector equation of the plane passing through the point (1, -1, 2) ...

    Text Solution

    |

  3. If the vectors veca= 3x hati+4y hatj-12hatk and vecb=3x hati-4y hatj+1...

    Text Solution

    |

  4. If veca, vecb, vec c are three mutually perpendicular vectors and |vec...

    Text Solution

    |

  5. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

    Text Solution

    |

  6. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), "if " a=...

    Text Solution

    |

  7. The value of lim(x to 0) (27^(x)-9^(x)-3^(x)+1)/(log(e)(1+(x^(2))/(2)...

    Text Solution

    |

  8. The value of lim(x to 0) (1-3x)^((3)/(x)) is equal to -

    Text Solution

    |

  9. If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k, then the value of (dy)/(dx) at...

    Text Solution

    |

  10. If x=a cot theta and y=(1)/(x^(2)+a^(2)), then the value of (d^(2)...

    Text Solution

    |

  11. If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then which of the following is...

    Text Solution

    |

  12. If y=e^(m sin^(-1)x), then the value of [(d^(2)y)/(dx^(2))](x=0) is ...

    Text Solution

    |

  13. If x sqrt(1+y)+y sqrt(1+x)=0 then the value of (dy)/(dx) is -

    Text Solution

    |

  14. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)), then the ...

    Text Solution

    |

  15. If siny=x sin(a+y), then the value of (dy)/(dx) is -

    Text Solution

    |

  16. If y="tan"^(-1)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(...

    Text Solution

    |

  17. If the equation a(n)x^(n)+a(n-1)x^(n-1)+…+a(1)x=0 (a(1) ne 0, n ge 2)...

    Text Solution

    |

  18. If x sin y+y cos x=pi, then the value of y''(0) is -

    Text Solution

    |

  19. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be ...

    Text Solution

    |

  20. The value of int(dx)/(x(x^(7)+1)) is equal to -

    Text Solution

    |