Home
Class 12
MATHS
Let there are three points A (0, 4/3), B...

Let there are three points `A (0, 4/3), B(–1, 0)` and `C(1, 0)` in x – y plane. The distance from a variable point P to the line BC is the geometic mean of the distances from this point to lines AB and AC then locus of P can be

Text Solution

AI Generated Solution

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 (1,2) from the line 2x-3y-4=0 in the direction of the line x+y=1 , is

The perpendicular distance from the point (1,-1) to the line x+5y-9=0 is equal to

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. The perpendicular distance from C to AB is

A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

Find the distance of the point P from the line l in that : l: 12x-7=0, P-= (3, -1)

Find the distance of the point P from the line l in that : l: x/a - y/b = 1 and P-= (b, a)

Distance of point P(vecP) from the plane vecr.vecn=0 is

A point P moves so that its distance from the line given by x=-3 is equal to its distance from the point (3, 0). Show that the locus of P is y^(2)=12x .

The difference of the distances of variable point from two given points (3,0) and (-3,0) is 4. Find the locus of the point.

Find the distance of the point P from the lines AB in the following cases : P(0, 0), AB is h(x+h)+k(y+k)=0

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the number of points where the function f(x) = max(|tanx|,cos|x|)...

    Text Solution

    |

  2. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x(2n), find the value of a0+a6++ ,n ...

    Text Solution

    |

  3. Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y p...

    Text Solution

    |

  4. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  5. Let f:[-(5pi)/(12),-pi/3]vecR is a function f(x)=tan(x+(2pi)/3)-tan(x+...

    Text Solution

    |

  6. If f (x) be a differentiable function satisfying f (y) f ((x)/(y))=f (...

    Text Solution

    |

  7. Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /CBA (...

    Text Solution

    |

  8. If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 interse...

    Text Solution

    |

  9. General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi...

    Text Solution

    |

  10. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  11. Sum of the series : 1^3+2^3+4^3+5^3+7^3+...+59^3

    Text Solution

    |

  12. The focal distance of the point (9,6) on the parabola y^(2)=4x is

    Text Solution

    |

  13. Write the negative of the compound proposition p vv(~pvvq)

    Text Solution

    |

  14. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

    Text Solution

    |

  15. The probability that at least one of the events Aa n dB occurs is 0.6....

    Text Solution

    |

  16. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  17. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  18. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

    Text Solution

    |

  19. If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ...

    Text Solution

    |

  20. Normal drawn at P(t), having negative ordinate, to parabola y^2=16 x m...

    Text Solution

    |