Home
Class 12
MATHS
Solve the following equations : (i) |x...

Solve the following equations :
(i) `|x-2| = sqrt(x-4)` , (ii) `(|x-2|)/(x-1) = 1/(x-1)`

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

Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

Solve the following equations: (i) 2^(x-5)=256 (ii) 2^(x+3)=4^(x-1)

Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2)-4|+|x^(2)-9|=0 (iii) |x-1|+|x+5| = 6

solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=2x-6 (iii) |x-4|+|x-7| = 11

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

Solve the following quadratic: \ x^2+x/(sqrt(2))+1=0

Solve the following quadratic: x^2+x+1/(sqrt(2))=0

Solve the following equations: (i)\ 3^(x+1)=27\ xx\ 3^4 \ and (ii) (1/2)^(3+x)=(1/4)^(3y)

Solve the following equations : (x)/(3)-2(1)/(2)=(4x)/(9)-(2x)/(3)

Solve the following: (i)|x-2|=1 (ii) 2|x+1|^2-|x+1|=3

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f(x),xgeq0, be a non-negative continuous function. If f^(prime)(x)...

    Text Solution

    |

  2. Draw the region bounded by x^2 + y^2 >1 and x^2/1+y^2/4 le 1

    Text Solution

    |

  3. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

    Text Solution

    |

  4. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

    Text Solution

    |

  5. Let inte^x{f(x)-f^(prime)(x)}dx=varphi(x)dot Then inte^xf(x)dx is

    Text Solution

    |

  6. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

    Text Solution

    |

  7. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin...

    Text Solution

    |

  8. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

    Text Solution

    |

  9. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

    Text Solution

    |

  10. Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...

    Text Solution

    |

  11. int((e^x(2-x^2))/((1-x)sqrt(1-x^2))\ dx) is equal to

    Text Solution

    |

  12. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  13. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

    Text Solution

    |

  14. If in a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  15. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

  16. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  17. The function f(x)=(4sin^2x-1)^n(x^2-x+1),n in N , has a local minimum...

    Text Solution

    |

  18. The value of ("lim")(nvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  19. The number of roots of the equation 2sqrt(2x+1)=2x-1 is equal to

    Text Solution

    |

  20. The functionf(x)=|ax-b|+ax-b|+c|x| forallx in(-00,00) where agt0, bt0,...

    Text Solution

    |