Home
Class 11
MATHS
The number of rational point(s) [a point...

The number of rational point(s) [a point (a, b) is called rational, if `aa n db` both are rational numbers] on the circumference of a circle having center `(pi,e)` is at most one (b) at least two exactly two (d) infinite

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

3. 27 is (a) an integer (b) a rational number (c) a natural number (d) an irrational number

(log)_4 18 is a rational number (b) an irrational number (c)a prime number (d) none of these

The number (log)_2 7 is (1990, 2M) (a) an integer (b) a rational number (c) an irrational number (d) a prime number

The number (log)_2 7 is (1990, 2M) ,a) an integer (b) a rational number ,c) an irrational number (d) a prime number

If A & B are two rational numbers and AB, A + B and A -B are rational numbers, then A/B is :

Which of the two rational numbers 5/7a n d3/5 is greater?

Find two rational numbers between 1/5a n d1/2dot

tan 5^@ is (A) rational number (B) Irrational number (C) prime number (D) none of these

The product of two rational numbers is (16)/(5) . If one of them is (-14)/(5) , find the other rational number.

The product of two rational number is 15. If one of the numbers is 10 , find the other.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A circle of radius 5 units has diameter along the angle bisector of th...

    Text Solution

    |

  2. A circle of radius 1 unit touches the positive x-axis and the positive...

    Text Solution

    |

  3. The number of rational point(s) [a point (a, b) is called rational, if...

    Text Solution

    |

  4. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

    Text Solution

    |

  5. Two parallel tangents to a given circle are cut by a third tangent at ...

    Text Solution

    |

  6. If the equation of any two diagonals of a regular pentagon belongs ...

    Text Solution

    |

  7. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...

    Text Solution

    |

  8. A B C D is a square of unit area. A circle is tangent to two sides of ...

    Text Solution

    |

  9. Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respe...

    Text Solution

    |

  10. A straight line with slope 2 and y-intercept 5 touches the circle x^2+...

    Text Solution

    |

  11. A pair of tangents is drawn to a unit circle with center at the origin...

    Text Solution

    |

  12. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  13. A circle of constant radius a passes through the origin O and cuts the...

    Text Solution

    |

  14. The equation of the line inclined at an angle of pi/4 to the x-axis ,s...

    Text Solution

    |

  15. If a circle of constant radius 3k passes through the origin O and me...

    Text Solution

    |

  16. A straight line l1 with equation x-2y+10=0 meets the circle with equat...

    Text Solution

    |

  17. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  18. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect ortho...

    Text Solution

    |

  19. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  20. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |