Home
Class 11
MATHS
A square of side a lies above the x-axis...

A square of side `a` lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle `alpha(0ltalphaltpi/ 4)` with the positive direction of x-axis. equation its diagonal not passing through origin is (a) `y(cosalpha+sinalpha)+x(sinalpha-cosalpha)="a`(b)`y(cosalpha+sinalpha)+x(sinalpha+cosalpha)=a`(c)`y(cosalpha+sinalpha)+x(cosalpha-sinalpha)=a`(d)`y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=a`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

A square of side a lies above the X- axis and has one vertex at the origin . The side passing through the origin makes an angle pi//6 with the positive direction of X-axis .The equation of its diagonal not passing through the origin is

Prove that (sinalpha)/(1+cosalpha)+(1+cosalpha)/(sin alpha)=2"cosec "alpha .

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

Find the inverse of [(1, 0, 0),( 0,cosalpha,sinalpha),(0,sinalpha,-cosalpha)]

If intsinx/(sin(x-alpha))dx=Ax+Blogsin(x-alpha)+C , then value of (A,B) is (A) (-sinalpha,cosalpha) (B) (-cosalpha,sinalpha) (C) (sinalpha,cosalpha) (D) (cosalpha,sinalpha)

If A= [[cosalpha,sinalpha],[-sinalpha,cosalpha]] then show that A^2=[[cos2alpha,sin2alpha],[-sin2alpha,cos2alpha]]

If 5tanalpha=4 , show that (5sinalpha-3cosalpha)/(5sinalpha+2cosalpha)=1/6

Evaluate Delta=|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|

If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalpha+sinalpha )/(1+sinalpha) is also equal to y.

Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,cosbeta,0),(sinalphacosbeta,sinalpha sinbeta,cosalpha)|

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. One diagonal of a square is along the line 8x-15 y=0 and one of its ve...

    Text Solution

    |

  2. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

    Text Solution

    |

  3. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  4. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  5. ABC is a variable triangle such that A is (1, 2), and B and C on the l...

    Text Solution

    |

  6. Consider a A B C is which side A Ba n dA C are perpendicular to x-y-4...

    Text Solution

    |

  7. Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2...

    Text Solution

    |

  8. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

    Text Solution

    |

  9. Each equation contains statements given in two columns which have to b...

    Text Solution

    |

  10. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  11. The area of the triangular region in first quadrant bounded on the lef...

    Text Solution

    |

  12. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

    Text Solution

    |

  13. Lines L1-=a x+b y+c=0 and L2-=l x+m y+n=0 intersect at the point P and...

    Text Solution

    |

  14. Let A B C be a triangle with A B=A Cdot If D is the midpoint of B C ,E...

    Text Solution

    |

  15. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  16. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  17. The locus of the orthocentre of the triangle formed by the lines (1+p)...

    Text Solution

    |

  18. The vertices of a triangle are (A(-1,-7),B(5,1), and C(1,4)dot The equ...

    Text Solution

    |

  19. Let the algebraic sum of the perpendicular distance from the points (2...

    Text Solution

    |

  20. A straight line through the origin 'O' meets the parallel lines 4x +2y...

    Text Solution

    |