Home
Class 11
MATHS
Statement-1 : Let z be a complex number ...

Statement-1 : Let `z` be a complex number satisfying `|z-3|lt=|z-1|,|z-3|lt=|z-5|,|z-i|lt=|z+i|a n d|z-i|lt=|z-5i|` . Then the area of region in which `z` lies is 12 sq. unit. Statement-2 : Area of trapezium `=1/2x` (sum of parallel sides) `x` (distance between parallel sides) Statement-1 is correct and Statement-2 is correct and Statement-2 is correct explanation of Statement-1. Statement-1 and Statement-2 both are correct but Statement-2 is not correct explanation of Statement-1 Statement-1 is false but Statement-2 is true. Statement-1 is true but Statement-2 is false

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RESONANCE DPP|Exercise All Questions|3 Videos

  • CONIC SECTIONS

    RESONANCE DPP|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

Statement-1: The function F(x)=intsin^2xdx satisfies F(x+pi)=F(x),AAxinR ,Statement-2: sin^2(x+pi)=sin^2x (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement 1. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. In a triangle ABC, if a:b:c=4:5:6, then R:r=16:7 , Statement 2. In a triangle ABC, R:r=abc:4s (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Stastement 2 is true

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement-1 : Dipole-dipole interaction is only non covalent force of interaction for hydrogen bonding. Statement-2 : F is the most electronegative element and HF has symmetrical hydrogen bonding. (1) Statement-1 and Statement-2 are true and Statement-2 is correct explanation of Statemnt-1. (2) Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of Statement-1. (3) Statement-1 is true and Statement-2 is false. (4)Statement-1 is false and Statement-2 is false.

Statement -1 (1/2)^7lt(1/3)^4 implies 7log(1/2)lt4log(1/3)implies7lt4 Statement-2 If axltay , where alt0 ,x, ygt0 , then xgty . (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true.

Statement-1: intdx/(x(1+logx)^2)=-1/(1+logx)+C , Statement-2: int(f(x))^nf\'(x)dx=(f(x))^(n+1)/(n+1)+C, n+1!=0 (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1: int((x^2+1)/x^2)e^((x^2+1)/x^(2))dx=e^((x^2+1)/x^(2))+C Statement-2: intf(x)e^(f(x))dx=f(x)+C (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Let A be a 2""xx""2 matrix Statement 1 : a d j""(a d j""A)""=""A Statement 2 : |a d j""A|""=""|A| (1) Statement1 is true, Statement2 is true, Statement2 is a correct explanation for statement1 (2) Statement1 is true, Statement2 is true; Statement2 is not a correct explanation for statement1. (3) Statement1 is true, statement2 is false. (4) Statement1 is false, Statement2 is true

If A is 2 x 2 invertible matrix such that A=adjA-A^-1 Statement-I 2A^2+I=O(null matrix) Statement-II: 2|A|=1 (i) Statement-I is true, Statement-II is true; Statement-II is a correct explanation for Statement-I (2) Statement-I is true, Statement-II is true; Statement-II is not a correct explanation for Statement-I. 3) Statement-I is true, Statement-II is false. (4) Statement-I is false, Statement-II is true.

RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find all values of p for which the roots of the equation (p-3)x^2-2px+...

    Text Solution

    |

  2. If z1,z2,z3 are three distinct non-zero complex numbers and a ,b ,c in...

    Text Solution

    |

  3. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

    Text Solution

    |

  4. If a^3+b^3+6a b c=8c^3&omega is a cube root of unity then: a , b...

    Text Solution

    |

  5. The image of a complex number z in the imaginary axis is (A) z (...

    Text Solution

    |

  6. If z1,z2,z3 are the vertices of the A B C on the complex plane and ar...

    Text Solution

    |

  7. If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b...

    Text Solution

    |

  8. If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2...

    Text Solution

    |

  9. Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...

    Text Solution

    |

  10. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  11. Area bounded by a r g(z)=pi/3,A rg(z)=(2pi)/3 and A rg(z-2-i2sqrt(3))...

    Text Solution

    |

  12. The greatest value of the modulus of the complex number ' z ' satisfyi...

    Text Solution

    |

  13. The set of points on a Argand diagram which satisfy bot |z|lt=4&A ...

    Text Solution

    |

  14. The number of solutions of z^3+ z =0 is 2 (b) 3 (c) 4 (d) 5

    Text Solution

    |

  15. If omega is an imaginary cube root of unity, then the value of (p+q)^...

    Text Solution

    |

  16. If z0,z1 represent points P ,Q on the locus |z-1|=1 and the line se...

    Text Solution

    |

  17. Let z1=a+i b and z2=c+i d are two complex number such that |z1|=|z2|...

    Text Solution

    |

  18. The centre of a square is at the point with complex number z0=1+i and...

    Text Solution

    |

  19. Intercept made by the circle zbar z + alphabarz+baralpha z +r=0 on ...

    Text Solution

    |

  20. The triangle formed by complex numbers z ,i z ,i^2z is (a)Equilatera...

    Text Solution

    |