Home
Class 12
MATHS
The point P(1,1) is translated parallel ...

The point `P(1,1)` is translated parallel to `2x=y` in the first quadrant through a unit distance. The coordinates of the point P in the new position are `(1+-2/(sqrt(5)),1+-1/(sqrt(5)))` `(1+-1/(sqrt(5)),1+-2/(sqrt(5)))` `(1/(sqrt(5)),2/(sqrt(5)))` (4) `(2/(sqrt(5)),1/(sqrt(5)))`

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

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

Evaluate : (1)/(3-sqrt(8)) -(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2).

Simplify: (i) (7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5)) (ii) 1/(2+sqrt(3)\ )+2/(sqrt(5)-\ sqrt(3))+1/(2-\ sqrt(5))

sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}

Let T = (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7)) +(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)+2) then-

Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt(2)-sqrt(7)) + (1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5 .

Show that: 1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5))+1/(sqrt(5)-2)=5

Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-1/(sqrt(6)-\ sqrt(5))+1/(sqrt(5)-2)=5

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

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : xy

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Distance of point P(-2,3,4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5 me...

    Text Solution

    |

  2. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  3. The point P(1,1) is translated parallel to 2x=y in the first quadrant ...

    Text Solution

    |

  4. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

    Text Solution

    |

  5. A function f from integers to integers is defined as f(x)={n+3, n in ...

    Text Solution

    |

  6. log(3)(1+(1)/(3))+log(3)(1+(1)/(4))+log(3)(1+(1)/(5))+..+log(3)(1+(1)/...

    Text Solution

    |

  7. Let A = the number of ways of selecting a committee of 5 from a gro...

    Text Solution

    |

  8. Simplify :""^(3)sqrt(5^((1)/(log(7)5))+(1)/(sqrt(-log(10)(0.1))))

    Text Solution

    |

  9. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  10. Number of solution satisfying, sqrt(5-(log)2x)=3-(log)2x are: (a)1 (b...

    Text Solution

    |

  11. Solve log(x+3)(x^(2)-x) lt 1.

    Text Solution

    |

  12. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

  13. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  14. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

    Text Solution

    |

  15. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |

  16. Consider the number N= 7 7 4 9 5 8 P 9 6 Q (i) If P=2 and the number ...

    Text Solution

    |

  17. (4)/(9^((1)/(3))-3^((1)/(3))+1) is equivalent to :

    Text Solution

    |

  18. A 3-digit number has, from left to right, the digits a, b and c with a...

    Text Solution

    |

  19. Solve ((x-5)^(2)(x+2)^(3)(x-4))/((x-3)^(4))le0

    Text Solution

    |

  20. IF (log)6{(log)2[sqrt(4x+2)]+2sqrt(x)}=0, then x= .

    Text Solution

    |