Home
Class 12
MATHS
ABCD is a square of side length ‘a’. Its...

ABCD is a square of side length ‘a’. Its side AB slides between x and y-axes in first quadrant. Find the locus of the foot of perpendicular dropped from the point E on the diagonal AC, where E is the midpoint of the side AD.

Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos

Similar Questions

Explore conceptually related problems

ABCD is a square of side length 'a'.Its side AB slides between x and y-axes in first quadrant. The locus of the foot of perpendicular drooped from the point E on the diagonal AC (where E is the midpoint of side AD) is

ABCD is a square of side 6cm. Find the area of the shaded region bounded between square and the two quadrants

Find the locus of the point which is equidistant from the sides AB and AC of triangle ABC.

If the diagonal of a square is 13 cm ,then find the length of its side .

Find the locus of the point which is equidistant from sides AB and AD of a rhombus ABCD.

Find the length of the side of a square if the length of its diagonal is 12 cm .

ABCD is a square, the length of whose side is a. Taking AB and AD as the coordinate axes, the equation of the circel passing through the ceteices of the square is

Find the length of the side of a square if the length of its diagonal is 10cm.

The diagonals of a quadrilateral ABCD are perpendicular.Show that the quadrilateral, formed by joining the mid-points of its sides,is a rectangle.

MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
  1. P is a variable point and the co-ordinates of two points A and B are (...

    Text Solution

    |

  2. Find the ratio in which the xy-plane divides the join of (–3, 4, –8) a...

    Text Solution

    |

  3. ABCD is a square of side length ‘a’. Its side AB slides between x and ...

    Text Solution

    |

  4. Find the direction cosines l + m + n of the two lines which are connec...

    Text Solution

    |

  5. Show that the lines whose direction cosines are given by l+m+n=0, 2mn...

    Text Solution

    |

  6. Find the area of the triangle whose vertices are A(1, 2, 3), B(2, –1, ...

    Text Solution

    |

  7. A plane is passing through a point P(a, –2a, 2a), a ne 0, at right ang...

    Text Solution

    |

  8. Reduce the equation of the plane x + 2y – 2z – 9 = 0 to the normal for...

    Text Solution

    |

  9. Find the equation of the plane passing through the points (0,-1,-1), (...

    Text Solution

    |

  10. Find the equation of the plane through (1, 0, -2) and perpendicular to...

    Text Solution

    |

  11. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  12. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  13. Show that the origin lies in the acute angles between the planes x + 2...

    Text Solution

    |

  14. The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...

    Text Solution

    |

  15. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

  16. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  17. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |

  18. Show that the disease of the point of intersection of the line (x-2)/3...

    Text Solution

    |

  19. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  20. The equation of straight line 3x + 2y - 2-4 = 0 ; 4x+y-2z + 3 = 0 in ...

    Text Solution

    |