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Write True or False Only one circle ca...

Write True or False
Only one circle can be drawn which touches the all sides or extended sides of a triangle.

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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

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A Tangent to a circle is a line which touches the circle at only one point.

UNITED BOOK HOUSE-HOWRAH ZILLA SCHOOL-EXERCISE
  1. Write True or False If tan35^@ tan 55^@ = sinA then A =45^@.

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  2. Write True or False If the radius of a right circular cylinder is d...

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  3. Write True or False Only one circle can be drawn which touches the a...

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  4. Find the difference betweeen compound interest and simple interest of ...

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  5. Find the nature of the roots of the equation 2x^2-sqrt3x+2=0.

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  6. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  7. OA and OB are the radius of a circle with centre at O and angleAOB= 15...

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  8. The diagonals of a square ABCD intersect at O. If the length of each s...

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  9. ABCD is cyclic quadrilateral. Extended BA upto F. AE||CD and if angleA...

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  10. Find the value of 1/(1+sin^2 20^@)+1/(1+cosec^2 20^@).

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  11. Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha.

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  12. The volume of a cuboid is 432 c.c. By melting it, to make two cube of ...

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  13. The lower and upper part of a solid object are hemispherical and conic...

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  14. If ui = (xi-25)/10 sumfiui = 20 and sumfi = 100, find barx.

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  15. In a partnership business, the ratio of the capitals of three partners...

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  16. A man deposits the money for each of his three sons in such a way tha...

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  17. A and B started a business in partnership by investing in the ratio of...

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  18. Solve: (a+x-2b)/(2a-b)-(a-2b)/x=1.

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  19. If one root of the equation ax^2+bx+c=0 is square the other root, then...

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  20. If x+y alphaz, when y is constant, (x+z) alpha y when z is constant, t...

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