Home
Class 11
MATHS
Tangents are drawn from the point (17, 7...

Tangents are drawn from the point (17, 7) to the circle `x^2+y^2=169`, Statement I The tangents are mutually perpendicular Statement, lls The locus of the points frorn which mutually perpendicular tangents can be drawn to the given circle is `x^2 +y^2=338` (a) Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statementl (b( Statement I is correct, Statement I| is correct Statement II is not a correct explanation for Statementl (c)Statement I is correct, Statement II is incorrect (d) Statement I is incorrect, Statement II is correct

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Statement 1: Through (lambda,lambda+1) , there cannot be more than one normal to the parabola y^2=4x , if lambda (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement 1: The greater the decay constant of a radioactive element, the smaller is its half-life. Statement 2: An element, although radioactive, can last longer, if its decay with time is slow. (A) Statement 1 is correct, Statement 2 is correct. But, Statement 2 is not the correct explanation of Statement 1. (B) Statement 1 is correct, Statement 2 is correct. Statement 2 is the correct explanation of Statement 1. (C) Statement 1 is correct, Statement 2 is incorrect. (D) Statement 1 is incorrect, Statement 2 is correct.

Statement I: Negative charges are never emitted from the nucleus of an atom. Statement II: Nucleus of an atom is constituted only of protons and neutrons. (A) Statement I is true, statement II is true, statement II is a correct explanation for statement I. (B) Statement I is true, statement II is true, statement II is not a correct explanation for statement I. (C) Statement I is true, statement II is false. (D) Statement I is false, statement II is true.

Statement 1: The number of positive integral solutions of a b c=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 3^3 (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement 1 : Slopes of tangents drawn from (4, 10) to the parabola y^2=9x are and 1/4 and 9/4 . Statement 2 : Two tangents can be drawn to a parabola from any point lying outside the parabola. (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement I: No natural radioisotope can emit positron. Statement II: Some artifically transmuted isotopes show radioactivity - some of these may emit positrons. (A) Statement I is true, statement II is true, statement II is a correct explanation for statement I. (B) Statement I is true, statement II is true, statement II is not a correct explanation for statement I. (C) Statement I is true , statement II is false. (D) Statement I is false, statement II is true.

Statement 1: The normals at the points (4, 4) and (1/4,-1) of the parabola y^2=4x are perpendicular. Statement 2: The tangents to the parabola at the end of a focal chord are perpendicular. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1 : Both the circles intersect each other at two distinct points. Statement 2 : The sum of radii of the two circles is greater than the distance between their centers. (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement 1 : The number of circles touching lines x+y=1,2x-y=5, and 3x+5y-1=0 is four Statement 2 : In any triangle, four circles can be drawn touching all the three sides of the triangle. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Statement 1: There are no common tangents between the circle x^2+y^2-4x+3=0 and the parabola y^2=2xdot Statement 2:Given circle and parabola do not intersect. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of the circle of minimum radius which contains the t...

    Text Solution

    |

  2. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  3. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  4. The equation of the line passing through the points of intersection of...

    Text Solution

    |

  5. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  6. If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the ...

    Text Solution

    |

  7. Find the locus of the midpoints of the portion of the normal to the pa...

    Text Solution

    |

  8. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

    Text Solution

    |

  9. M is the foot of the perpendicular from a point P on a parabola y^2=4a...

    Text Solution

    |

  10. Find the locus of the middle points of chords of a parabola y^(2)=4ax ...

    Text Solution

    |

  11. A quadrilateral is inscribed in a parabola y^2=4a x and three of its s...

    Text Solution

    |

  12. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

    Text Solution

    |

  13. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n d a ,...

    Text Solution

    |

  14. The equation of aparabola is y^2=4xdotP(1,3) and Q(1,1) are two poin...

    Text Solution

    |

  15. A P is perpendicular to P B , where A is the vertex of the parabola y^...

    Text Solution

    |

  16. Find the value of p such that vertex of y=x^(2)+2px+13 is 4 units abov...

    Text Solution

    |

  17. The point (a,2a) is interior region bounded by the parabola y^(2)=16x ...

    Text Solution

    |

  18. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

    Text Solution

    |

  19. Find the equation of the tangent to the parabola 9x^(2)+12x+18y-14=0 w...

    Text Solution

    |

  20. Find the angle between the tangents drawn to y^(2)=4x, where it is int...

    Text Solution

    |