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Sum of the squares of the length of the tangents from the points (18, 18), (10, 20) and (21, 21) to the circle `x^(2) + y^(2) =25` is equal to ________ .

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Knowledge Check

  • The square of the length of tangent from (3, –4) on the circle x^(2) + y^(2) – 4x – 6y + 3 = 0

    A
    20
    B
    30
    C
    40
    D
    50

  • The length of the longest ray drawn from the point (4,3) to the circle x ^(2) + y ^(2) + 16 x + 18y + 1=0 is equal to

    A
    the radius of the circle
    B
    the diameter of the circle
    C
    circumference of the circle
    D
    the distance of the centre of the cirlce from the origin

  • The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `90^(@)`
    D
    `120^(@)`
    • AAKASH INSTITUTE-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
    1. Sum of the squares of the length of the tangents from the points (18, ...

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    2. If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyclic, then t^...

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    3. The equation of a tangent to the circle with centre (2, -1) is 3x + y...

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    4. A circle passes through the point (3, 4) and cuts the circle x^2+y^2=c...

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    5. Two circles are inscribed are circumscribed about a square ABCD, lengt...

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    6. The square of the length of the tangent drawn from any point on the ci...

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    7. l and m are the lengths of the tangents from the origin and the point ...

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    8. The least distance between two points P and Q on the circle x^(2) + y^...

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    9. The sum of the square of length of the chord intercepted by the line x...

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    10. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

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    11. The chord of contact of tangents from 3 points A, B, C to the circle x...

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    12. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

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    13. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

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    14. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

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    15. The mirror image of the parabola y^2= 4x in the tangent to the parabol...

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    16. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

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    17. Find the equation of the circle passing through the points of intersec...

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    18. Find the equation of the parabola which is symmetric about the y-axis,...

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    19. The point on the curve 2x^(2) + 3y^(2) = 6 which is nearest to the lin...

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    20. The line passing through the extremity A of the major axis and extremi...

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