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The equations of the circle which pass t...

The equations of the circle which pass through the origin and make intercepts of lengths 4 and 8 on the X and Y-axes respectively are

A

`x^(2)+y^(2)+-4x+-8y=0`

B

`x^(2)+y^(2)+-2x+-4y=0`

C

`x^(2)+y^(2)+-8x+-16y=0`

D

`x^(2)+y^(2)+-x+-y=0`

Text Solution

Verified by Experts

The correct Answer is:
A
In `DeltaOAC, OC^(2)=2^(2)+4^(2)=20`

`:.` Required equation of circle is
`(x+-2)^(2)+(y+-4)^(2)=20`
`impliesx^(2)+y^(2)+-4x+-8y=0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 12-Paper 2 (Mathematics)
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  4. Find the general solution of the differential equations sec^2xtany dx...

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  5. sin[3sin^(-1)((1)/(5))] is equal to

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  6. If f:RtoR is defined by f(x)=|x|, then

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  7. The equations of the circle which pass through the origin and make int...

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  8. A circle with centre at (2, 4) is such that the line x+y+2= 0 cuts a ...

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  9. The equation of the parabola whose focus is (3,-4) and direction 6x-7y...

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  10. The equation (x^(2))/(2-lamda)-(y^(2))/(lamda-5)-1=0, represent and el...

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  11. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

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  12. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

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  13. If the mean and the variance of a binomial variable X are 2 and 1 resp...

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  14. Twelve tickets are numbered from 1 to 12. One ticket is drawn at rand...

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  15. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

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  16. Write the angle between the line (x-1)/2=(y-2)/1=(z+3)/-2 and the plan...

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  17. The number of distinct values of lamda, for which the vectors -lamda^(...

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  18. The solution of the differential equation (dy)/(dx)=(x-y+3)/(2x(x-y)+5...

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  19. The general solution of equation 3 tan(theta - 15^o) = tan(theta+15^o)...

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