Home
Class 12
MATHS
The point on the line (x-2)/1=(y+3)/(-2)...

The point on the line `(x-2)/1=(y+3)/(-2)=(z+5)/(-2)` at a distance of 6 from the point `(2,-3,-5)` is a. `(3,-5,-3)` b. `(4,-7,-9)` c. `0,2,-1` d. none of these

A

`(3,-5,-3)`

B

`(4,-7,-9)`

C

`(0,1,-1)`

D

`(-3,5,3)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Direction cosines of the given line are `(1)/(3),-(2)/(3)-(2)/(3)` Hence, the equation of line can be a point in the form
`(x-2)/((1)/(3))=(y+3)/((-2)/(3))=(z+5)/((-2)/(3))=r`
Therefore, any point of the line is `(2+(r)/(3),-3-(2r)/(3),-5-(2r)/(3))`
where `r=+-6`
Points aer `(4,j-7,-9)` and `(0,1,-1)`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise PART : 1MATHEMATICS SEC - 1|1 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART : 1MATHEMATICS|9 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

The point of the line (x-2)/(1)=(y+3)/(-2)=(z+5)/(-2) at a distance of 6 from the point (2,-3,-5) is

The point on the line (x-2)/(1)=(y+3)/(1)=(z+5)/(-2) at a distance of 6 from the point (2,-3,-5) is a.(3,-5,-3) b.(4,-7,-9) c.0,2,-1 d.none of these

Distance of the point of intersection of the line (x-3)/(1)=(y-4)/(2)=(z-5)/(2)and plane x+y+z=2 from the point (3,4,5) is

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

A point on the line (x-1)/1=(y-2)/2=(z+1)/3 at a distance sqrt(6) from the origin is (A) ((-5)/7, (-10)/7,13/7) (B) (5/7,10/7,(-13)/7) (C) (1,2,-1) (D) (-1,-2,1)

Statement 1: A point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance 3sqrt(2) from the point (1,2,3) lies on the lne (x+7)/5=(y+t)/4=(z-2)/1 Statement 2: If d is the distance between the point (-1,-5,-10) and the point of intersectionof the line (x-2)/3=(y+1)/4=(z-2)/12 with the plane x-y+z=5 then d=13

The distance of the point (-3,4) from the line 3x+4y-5=0 is (2)/(5) .

Find the distance of the point of intersection of the line (x-3)/(1)=(y-4)/(2)=(z-5)/(2) and the plane x+y+z=17 from the point (3,4,5) .

The point on the circle (x-3)^2 + (y-4)^2 = 4 which is at least distance from the circle x^2 + y^2 = 1 is : (A) (3/5, 4/5) (B) (9/5, 12/5) (C) (9, 12) (D) none of these

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

    Text Solution

    |

  2. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. If f(x)=x+tanx and g(x) is inverse of f(x) then g^(')(x) is equal to

    Text Solution

    |

  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

    Text Solution

    |

  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

    Text Solution

    |

  11. is The function f(x)=(x^2-1)|x^2-3x+2|+cos(|x|) is differentiable not ...

    Text Solution

    |

  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  14. Let f(x)=x^(3)-x^(2)+x+1 and g(x)={("max "f(t) 0letlex 0lexle1),(3-x 1...

    Text Solution

    |

  15. The value(s) of x satisfying tan^(-1)(x+3)-tan^(-1)(x-3)=sin^(-1)(3/5)...

    Text Solution

    |

  16. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  19. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  21. If y+a=m(1)(x+3a),y+a=m(2)(x+3a) are two tangents to the parabola y^(2...

    Text Solution

    |