Home
Class 12
MATHS
If the line (x-2)/3=(y-2)/4=(z+6)/2 inte...

If the line `(x-2)/3=(y-2)/4=(z+6)/2` intersects the plane `2x+4y+3z=0` at point P then find the distance `OP` (where O is orign (0,0,0))

A

`sqrt(8069)/7`

B

`sqrt(9053)/14`

C

`sqrt(7084)/7`

D

`sqrt(9017)/14`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in the point A . Then the direction ratios of the line OA are

Find the coordinates of the point,where the line (x-2)/(3)=(y+1)/(4)=(z-2)/(2) intersects the plane x-y+z-5=0 .Also find the angle between the line and the plane.

Find the coordinates of the point where the line (x-2)/(3)=(y+1)/(4)=(z-2)/(2) intersect the plane x-y+z-5=0. Also,find the angel between the line and the plane.

The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the plane 2x-y+3z-1=0 , is

find distance of the plane 2x-y+3z=4 from point (1,0,-2)

If the point of intersection of the plane 4x - 5y + 2z - 6 = 0 with the line through the origin and perpendicular to the plane x- 2y - 4z = 4 is P, then the distance of the point P from (1, 2,3) is

Find the equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0 Then find the distance of plane thus obtained from the point A(1,3,6) .

The distance between the line (x-2)/(1)=(y-3)/(1)=(z-4)/(5) and the plane 2x+3y-z+5=0 is

Projection of the line x+y+z-3=0=2x+3y+4z-6 on the plane z=0 is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Find the value of lim(n to oo) 6 tan{sum(r=1)^n tan^-1(1/(r^2+3r+3))} ...

    Text Solution

    |

  2. lim(xto1) ((x^2-1)sin^2(pi x))/(x^4-2x^3+2x-1) is equal to

    Text Solution

    |

  3. If the line (x-2)/3=(y-2)/4=(z+6)/2 intersects the plane 2x+4y+3z=0 at...

    Text Solution

    |

  4. If sin x =cos^2 x, then the number of solution in x in (0,10) are

    Text Solution

    |

  5. In the expansion of (2x^(1/5)-1/(x^(1/5)))^15 , coefficients of x^-1 a...

    Text Solution

    |

  6. If A=[(2,-1),(0,2)], then the modulus of all elements of matrix B whic...

    Text Solution

    |

  7. 3,6,9, . . . "upto" 78 terms 5,9,13, . . . "upto" 59 terms. Find th...

    Text Solution

    |

  8. If S=1+5/6+10/6^2+16/6^3+. . . then find S

    Text Solution

    |

  9. The number of complex number z such that abs(z)=3 and arg(z-1)-arg(z+1...

    Text Solution

    |

  10. Number of four digit numbers in which first three digit number is divi...

    Text Solution

    |

  11. triangleABC is inscribed in a circle x^2-sqrt2x+y^2=0 where angleABC=p...

    Text Solution

    |

  12. A angle of elevation of the top of a tower from the top and bottom of ...

    Text Solution

    |

  13. Negation of (p wedge q) implies (~p) wedge r is

    Text Solution

    |

  14. Let alpha be the root of equation x^4+x^2+1=0 then the value of alpha^...

    Text Solution

    |

  15. The two sides of a triangle are 2x-y-1=0 and x-2y+1=0 If orthocentre o...

    Text Solution

    |

  16. If f(x)=x+int0^1(x-t)f(t)dt and then find f(t)

    Text Solution

    |

  17. (1+e^(2x))dy/dx+2(1+y^2)e^x=0 , y(0)=0 ,find 6(f'(0)+(f(logsqrt3))^2)

    Text Solution

    |

  18. Find the probability that a relation {x,y} to {x,y} is symmetric as we...

    Text Solution

    |

  19. M=[(0,-alpha),(alpha,0)]. If (I-M^2)N=-2I & N =sum(k=1)^49M^(2k) ,then...

    Text Solution

    |

  20. Area between x^2+y^2 le a^2 ,x^2/a^2+y^2/b^2 gt 1 is 30pi and area bet...

    Text Solution

    |