Home
Class 12
MATHS
Find the square root of (a^(2))/(b^(2))+...

Find the square root of `(a^(2))/(b^(2))+(b^(2))/(a^(2))+(1)/(2i)((a)/(b)+(b)/(a))+(31)/(16)`.

Text Solution

Verified by Experts

The correct Answer is:
`+-((a)/(b)+(b)/(a)-(1)/(4i))`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the square roots : a^(2)+(1)/(a^(2))+4i(a+(1)/(a))-2

The asymptotes of the hyperbola (x^(2))/(a_(1)^(2))-(y^(2))/(b_(1)^(2))=1 and (x^(2))/(a_(2)^(2))-(y^(2))/(b_(2)^(2))=1 are perpendicular to each other. Then, (a) a_(1)/a_(2)=b_(1)/b_(2) (b) a_(1)a_(2)=b_(1)b_(2) (c) a_(1)a_(2)+b_(1)b_(2)=0 (d) a_(1)-a_(2)=b_(1)-b_(2)

If (sqrt(a + 2b) + sqrt(a - 2b))/(sqrt(a + 2b) - sqrt(a - 2b)) = sqrt3 and a^(2) + b^(2) = 1 , then the find values of a and b. (b) If sqrt((x - sqrt(a^(2) - b^(2)))^(2) + y^(2)) + sqrt((x + sqrt(a^(2) - b^(2)))^(2) + y^(2)) = 2a then prove that (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1

" if " |{:(a^(2),,b^(2),,c^(2)),((a+1)^(2),,(b+1)^(2),,(c+1)^(2)),((a-1)^(2),,(b-1)^(2),,(c-1)^(2)):}|= k(a -b) (b-c) (c-a) then find the value of k.

Simplify root(3)(a^(-2)).b xx root(3)(b^(-2)).c root(3)(c^(-2)).a .

Find the value of 12a^2+2ab+b^2 and a^3-b^3 when a=1, b=3.

The value of the determinant |(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^(2),2a),(2b,-2a,1-a^(2)-b^(2))| is equal to

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola (x^2)/(144)-(y^2)/(81)=1/(25) coincide, then find the value of b^2

If (2a - 3b)/(2a+3b) = 1/3 , then find the value of (2a^(3) - 3b^(3))/(2a^(3) + 3b^(3)) .

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Find the value of 4+5[-(1)/(2)-i(sqrt(3))/(2)]^(344)+3[-(1)/(2)+i(sqrt...

    Text Solution

    |

  2. If x= omega^(3) sqrt(y)+ omega+ omega^(2) ""^(3) sqrt(z), then prove t...

    Text Solution

    |

  3. Find the square root of (a^(2))/(b^(2))+(b^(2))/(a^(2))+(1)/(2i)((a)/(...

    Text Solution

    |

  4. z(1) and z(2) are two non-zero complex numbers such that z(1)^(2)+z(1)...

    Text Solution

    |

  5. Observing that 1^(3)=1, 2^(3)=3+5, 3^(3)=7+9+11, 4^(3)=13+15+17+19, fi...

    Text Solution

    |

  6. Obtain the sum of (1)/(x+1)+(2)/(x^(2)+1)+(4)/(x^(4)+1)+...+ (2^(n))/(...

    Text Solution

    |

  7. Let A and B be two comoplex numbers such that (A)/(B)+(B)/(A)=1. Prove...

    Text Solution

    |

  8. Show that the complex numbers z(1),z(2),z(3) satisfying (z(1)-z(3))/(z...

    Text Solution

    |

  9. If z(1),z(2),z(3) are complex numbers such that |z(1)|=|z(2)|=|Z(3)|=|...

    Text Solution

    |

  10. Show that (666 ...n "times")^(2)+(888.... N times) =(444.... 2n times)...

    Text Solution

    |

  11. Let z(1)=10+6i and z(2)=4+6i. If z is complex number such that the arg...

    Text Solution

    |

  12. z(1) and z(2) are two non-zero complex numbers, they form an equilater...

    Text Solution

    |

  13. If the complex numbers z(1),z(2),z(3) represents the vertices of an e...

    Text Solution

    |

  14. If omega is an imaginary cube root of unity. Find the value of the exp...

    Text Solution

    |

  15. Find the sum of all multiples 3 or 4 between 1 and 325.

    Text Solution

    |

  16. The vertices A,B,C of an isosceles right angled triangle with right an...

    Text Solution

    |

  17. If n ge0 is integer, using induction method prove that, (1)/(1+x)+(2...

    Text Solution

    |

  18. Find the differential coefficient of: x^(5x)

    Text Solution

    |

  19. If x+y=a+b and x^(2)+y^(2)=a^(2)+b^(2), then by mathematical induction...

    Text Solution

    |

  20. By the principle of mathematical induction prove that, (2^(2^(n))+1) h...

    Text Solution

    |