Home
Class 12
MATHS
A straight line l1 with equation x-2y+10...

A straight line `l_1` with equation `x-2y+10=0` meets the circle with equation `x^2+y^2=100` at `B` in the first quadrant. A line through `B` perpendicular to `l_1` cuts the y-axis at `P(0,t)` . The value of `t` is (a)12 (b) 15 (c) 20 (d) 25

A

12

B

15

C

20

D

25

Text Solution

Verified by Experts

The correct Answer is:
3
Slope of `I_(1)=(1)/(2)`
Slope of `I_(2) = -2`
The equation of `I_(2)` is
`y= -2(x-10)`
or `y+2x=20`
Hence, `t=20`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE PUBLICATION|Exercise Multiple Correct Anser Type|29 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type (For Problem 1-3)|3 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 4.17|2 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Comprehension|11 Videos

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos

Similar Questions

Explore conceptually related problems

The equation of a line parallel to the line 3x+4y=0 and touching the circle x^(2)+y^(2)=9 in the first quadrant is

The line x/a-y/b=1 cuts the x-axis at P. Find the equation of the line through p and perpendicular to the given line.

Find the equation of the line perpendicular to the line x/a-y/b=1 and passing through a point at which it cuts the x-axis.

Find the equation of the straight line perpendicular to 2x+3y+5=0 and passing through the point (2,-3).

The straight line x+y - 1= 0 cuts the circle x^(2) + y^(2) - 6x - 8y = 0 at A and B. Find the equation of the circle of which AB is a diameter.

Given A=(1,1) and A B is any line through it cutting the x-axis at Bdot If A C is perpendicular to A B and meets the y-axis in C , then the equation of the locus of midpoint P of B C is (a) x+y=1 (b) x+y=2 (c) x+y=2x y (d) 2x+2y=1

Consider the equation of a pair of straight lines as 2x^(2)-10xy+12y^(2)+5x-16y-3=0 . The point of intersection of lines is (alpha, beta) . Then the value of alpha beta is (a) 35 (b) 45 (c) 20 (d) 15

Find the equations of tangents to the circle x^2+y^2-22 x-4y+25=0 which are perpendicular to the line 5x+12 y+8=0

If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

CENGAGE PUBLICATION-CIRCLE -Excercises (Single Correct Answer Type)
  1. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

    Text Solution

    |

  2. If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45...

    Text Solution

    |

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

    Text Solution

    |

  4. A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  7. If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0...

    Text Solution

    |

  8. The area of the triangle formed by joining the origin to the point of ...

    Text Solution

    |

  9. If (alpha,beta) is a point on the circle whose center is on the x-axis...

    Text Solution

    |

  10. The area bounded by the circles x^2+y^2=1,x^2+y^2=4, and the pair of l...

    Text Solution

    |

  11. The number of intergral value of y for which the chord of the circle x...

    Text Solution

    |

  12. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

  13. The range of values of lambda,(lambda>0) such that the angle theta bet...

    Text Solution

    |

  14. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

    Text Solution

    |

  15. The locus of the midpoints of the chords of contact of x^2+y^2=2 from ...

    Text Solution

    |

  16. If a circle of radius r is touching the lines x^2-4x y+y^2=0 in the fi...

    Text Solution

    |

  17. The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y...

    Text Solution

    |

  18. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

    Text Solution

    |

  19. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

    Text Solution

    |

  20. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |