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Mathematics Test - 10

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Mathematics Test - 10
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  • Question 2
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    The equation of the straight line whose inclination is π/4 and x-intercept is 4

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    If a, b, c are in A.P then the lines represented by ax + by + c = 0 are concurrent at the point

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    A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :

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    The equation of the hyperbola, whose foci are (4,2) and (8,2) and eccentricity is 3, is

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    The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to (1, –2, –2) and (0, 2, 1) are

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    An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

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    The probability that a non-leap year will have only 52 Fridays is

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  • Question 10
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    An aeroplane flying with uniform speed horizontally one kilometer above the ground is observed at an elevation of 60°.  After 10 seconds if the elevation is observed to be 30°, then the speed of the plane is x√3 km/hr. The value of x is______.

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