Home
Class 11
MATHS
A particle p moves from the point A(0,4)...

A particle `p` moves from the point `A(0,4)` to the point `10 ,-4)` . The particle `P` can travel the upper-half plane `{(x , y)|ygeq}` at the speed of `1m//s` and the lower-half plane `{(x , y)|ylt=0}` at the speed of 2 m/s. The coordinates of a point on the x-axis, if the sum of the squares of the travel times of the upper- and lower-half planes is minimum, are (a) (1, 0) (b) (2, 0) (c) (4, 0) (d) (5, 0)

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

A particle p moves from the point A(0,4) to the point 10 ,-4) . The particle P can travel the upper-half plane {(x , y)|ygeq} at the speed of 1m//s and the lower-half plane {(x , y)|ylt=0} at the speed of 2 m/s. The coordinates of a point on the x-axis, if the sum of the squares of the travel times of the upper- and lower-half planes is minimum, are (1, 0) (b) (2, 0) (c) (4, 0) (d) (5, 0)

Find the locus of a point, the sum of squares of whose distance from the planes x-z=0,x-2y+z=0 and x+y+z=0 is 36

The coordinates of a point on the line x + y + 1 = 0 which is at a distance sqrt(2) units from the line 3x + 4y - 2 = 0 are

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the distance of the z-axis from the image of the point M(2-3,3) in the plane x-2y-z+1=0.

The coordinates of the point P on the lines 2x+3y+1=0, such that |PA-PB| is maximum, where A is (2,0) and B is (0,2) is

The slope of the tangent line to the curve x^(3)-x^(2)-2x+y-4=0 at some point on it is. 1. Find the coordinates of such point or points.

A plane meets the coordinates axes in A, B, C such that the centroid of the triangle ABC is the point (a,a,a) .Then the equation of the plane is x+y+z=p , where p is ___

A point P(x,y) moves in the xy - plane in such a way that its distance from the point (0,4) is equal to (2)/(3) rd of its distance from the x axis , find the equation to the locus of P.

Find the coordinates of the foot of the perpendicular and the prependicular distance of the point P(3,2,1) from the plane 2x-y+z+1=0 . Find also the image of the poitn in the plane.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

    Text Solution

    |

  2. Which of the following sets of points form an equilateral triangle? (...

    Text Solution

    |

  3. A particle p moves from the point A(0,4) to the point 10 ,-4) . The pa...

    Text Solution

    |

  4. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

  5. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

    Text Solution

    |

  6. Find the number points (both the coordinates should be integer) exactl...

    Text Solution

    |

  7. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  8. Find the orthocentre of the triangle whose vertices are (0,0),(3,0)...

    Text Solution

    |

  9. The area of a triangle is 5. Two of its vertices are A(2,1) and B(3...

    Text Solution

    |

  10. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  11. If the point P[X1+t(X2-X1),y1+t(y2-y1] divides AB internally where (X1...

    Text Solution

    |

  12. O P Q R is a square and M ,N are the midpoints of the sides P Q and Q ...

    Text Solution

    |

  13. If sum(i=1)^4(x1^2+y 1^2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y...

    Text Solution

    |

  14. In an acute triangle A B C , if the coordinates of orthocentre H are (...

    Text Solution

    |

  15. Consider the points O(0,0), A(0,1), and B(1,1) in the x-y plane. Suppo...

    Text Solution

    |

  16. If all the vertices of a triangle have integral coordinates, then th...

    Text Solution

    |

  17. The locus of a point reprersented by x=a/2((t+1)/t),y=a/2((t-1)/t) , w...

    Text Solution

    |

  18. The points A(0,0),B(cosalpha,sinalpha) and C(cosbeta,sinbeta) are the ...

    Text Solution

    |

  19. The ends of a diagonal of a square are (2,-3) and (-1,1)dot Another ve...

    Text Solution

    |

  20. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.

    Text Solution

    |