Home
Class 12
MATHS
The distance of the point (1, 2, 3) from...

The distance of the point (1, 2, 3) from the plane `x+y-z=5` measured along the straight line `x=y=z` is `5sqrt(3)` (2) `10sqrt(3)` (3) `3sqrt(10)` `3sqrt(5)` (5) `2sqrt(5)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (1,-5,""9) from the plane x-y+z=5 measured along the line x=y=z is : (1) 3sqrt(10) (2) 10sqrt(3) (3) (10)/(sqrt(3)) (4) (20)/3

Find the distance of the point (2, 3, 4) from the plane 3x + 2y + 2z + 5= 0 measured parallel to the line (x+3)/3=(y-2)/6=z/2 .

If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measured parallel to the line, x/1=y/4=z/5 is Q , then P Q is equal to : sqrt(42) (2) 6sqrt(5) (3) 3sqrt(5) (4) 3sqrt(42)

The distance of point (-1, -5, -10) from the plane 10 x+2y-z=0 measured parallel to the line x/3=(y-1)/4=(z+1)/(12) is: (A) 10sqrt(2) (B) 5 (C) 11 (D) none of these

Find the distance of the point (2, 3, 4) from the line (x+3)/3=(y-2)/6=z/2 measured parallel to the plane 3x + 2y + 2z - 5= 0 .

The graph of straight line y = sqrt(3)x + 2sqrt(3) is :

The radius of the circle touching the straight lines x-2y-1=0 and 3x-6y+7=0 is (A) 1/sqrt(2) (B) sqrt(5)/3 (C) sqrt(3) (D) sqrt(5)

Find sqrt(2+3sqrt(-5)) + sqrt(2-3sqrt(-5))

Simplify: 2/(sqrt(5)+\ sqrt(3))+1/(sqrt(3)+\ sqrt(2))-3/(sqrt(5)+\ sqrt(2))

If 5-sqrt(3)=x+y sqrt(3) then (x,y) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider two curves C1: y^2=4[sqrt(y)]x a n dC2: x^2=4[sqrt(x)]y , whe...

    Text Solution

    |

  2. In a DeltaABC if /A=/B=1/2(sin^(-1)((sqrt(6)+1)/(2sqrt(3)))+sin^(-1)(...

    Text Solution

    |

  3. The distance of the point (1, 2, 3) from the plane x+y-z=5 measured al...

    Text Solution

    |

  4. if alpha, beta, gamma are the roots of equation x^3-x-1=0 , then (1+...

    Text Solution

    |

  5. Let f(x) be a non constant twice differentiable function defined on (-...

    Text Solution

    |

  6. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

    Text Solution

    |

  7. Let set S consists of all points (x ,y) satisfying 9x^2+16 y^2lt=144. ...

    Text Solution

    |

  8. Let f: PvecQ defined by f(x)=4x-x^2 is a bijective function if P=[2...

    Text Solution

    |

  9. If f(x) and g(x) are two polynomilas such that the polynomial h(x)=xf(...

    Text Solution

    |

  10. For the function f(x)=(x^2+b x+c)3^xa n dg(x)=(x^2+b x+c)3^x+3^x(2x+...

    Text Solution

    |

  11. Which of the following is true? (a) pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-...

    Text Solution

    |

  12. If f(x)=(2^({x})-1)/(2^({x})+1) then (where {x} represent fractional p...

    Text Solution

    |

  13. Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a...

    Text Solution

    |

  14. The equation of the plane which is eqally inclined to the lines (x-1)/...

    Text Solution

    |

  15. Let pn=a^(P(n-1))-1,AAn=2,3,... ,a n d l e tP1=a^x-1, where a in R^+...

    Text Solution

    |

  16. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

    Text Solution

    |

  17. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

    Text Solution

    |

  18. IfIn=int0^1x^ndote^-x^2dx ,t h e n A. 2I(2016)=2015I(2014)-1/e B. ...

    Text Solution

    |

  19. If f(x)=int(x^8+4)/(x^4-2x^2+2)dxa n df(0)=0,t h e n f(x) is an odd f...

    Text Solution

    |

  20. The number of values of x in the interval [0,(7pi)/2] satisfying the e...

    Text Solution

    |