Home
Class 10
MATHS
Write True or False The roots of the eq...

Write True or False
The roots of the equation `x^2+kx+1=0` will be real if `k^2<4`.

Promotional Banner

Topper's Solved these Questions

  • Application of Trigonnometric Ratios : Heights of Distance

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • BEGUNKODAR HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

Write True or False: The roots of the equation x^2+x+1=0 are real.

The sum of the real roots of the equation abs(x)^2+absx-6 =0 is

True or false The equation 2x^2+3x+1=0 has an irrational root.

The value of k for which the roots of the equation 2x^2 + kx + k - 3 = 0 are reciprocal to each other is

The sum of all real roots of the equation abs(x-2)^2+abs(x-2)-2 =0 is

If one root of the equation qx^2+px+q=0 (p,q are real) be imaginary, show that the roots of the equation x^2-4qx+p^2=0 are real and unequal.

Fill in the blanks. If the product of the roots of the equation x^2-3k x+2e^(2logk)-1=0 is 7, then the roots are real for____________.

Find the condition for which the roots of the equation ax^2-(a+1)x+1=0 are always real.

Using differentiation method check how many roots of the equation x^3-x^2+x-2=0 are real?

UNITED BOOK HOUSE-BARANAGAR RAMAKRISHAN MISSION HIGH SCHOOL-EXERCISE
  1. Fill in the blanks Mean, median, mode are the measure of.

    Text Solution

    |

  2. Write True or False In compound interest, time and total interest are...

    Text Solution

    |

  3. Write True or False The roots of the equation x^2+kx+1=0 will be real...

    Text Solution

    |

  4. Let's find if the following statements are true or false. The diagon...

    Text Solution

    |

  5. If surface area and volume of a sphere are S and V respectively, Then ...

    Text Solution

    |

  6. Write True or False In cyclic quadrilateral ABCD, tan (A/2).tan(C/2)=...

    Text Solution

    |

  7. Find the angle between the x-axis and the line joining the points (3, ...

    Text Solution

    |

  8. Ratio of capital between three man is 4:8:9. If the difference of the ...

    Text Solution

    |

  9. In how many years will Rs 10,000 in compound interest at the rate of 1...

    Text Solution

    |

  10. If one of the root of the equation x^2-(2+b)x+6=0 is 2, then find its ...

    Text Solution

    |

  11. If (a+b):sqrt(ab) = 2:1 find a:b.

    Text Solution

    |

  12. AB is a chord of a circle with centre at O and radius 13 cm in length ...

    Text Solution

    |

  13. AB is the diameter of a hemisphere with radius 4 cm in length and angl...

    Text Solution

    |

  14. In a circle, if an arc of 220 cm length subtends an angle of measure 6...

    Text Solution

    |

  15. If tan 8 theta.tan 10 theta=1 and 10theta is a positive acute angle, ...

    Text Solution

    |

  16. The curved surface area of a right circular cone is sqrt(10) times of ...

    Text Solution

    |

  17. If the total surface area of a cube is 216 sq.meter, then find its vol...

    Text Solution

    |

  18. Three angles of a triangle are alpha-beta,alpha,alpha+beta. If the gre...

    Text Solution

    |

  19. If ui = (xi-25)/10 , sumfiui = 30 and sumfi = 50, find barx.

    Text Solution

    |

  20. If the rate of compound interet for the 1st and 2nd year are 4% and 5%...

    Text Solution

    |