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Mathematics Test 247

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Mathematics Test 247
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  • Question 1
    4 / -1

    A chord is drawn through the focus of the parabola y= 6x such that its distance from the vertex of this parabola is  then its slope can be :

    Solution

     

  • Question 2
    4 / -1

    The area (in sq. units) of the quadrilateral formed by the tangent at the end points of the latus rectum to the ellipse 

    Solution

    The tangents drawn at the end of the latera rectum to the ellipse will intersect at the x and the y axis because of symmetry. The area of the quadrilateral thus formed will be 4 times the area of the triangle formed by the tangent and the coordinate axis.

     

  • Question 3
    4 / -1

    A hyperbola whose transverse axis is along the major axis of the conic,  and has vertices at the foci of this conic. If the eccentricity of the hyperbola is  then which of the following points does NOT lie on it?

    Solution

     

  • Question 4
    4 / -1

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  • Question 5
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  • Question 6
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  • Question 7
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  • Question 8
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  • Question 9
    4 / -1

    The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is.

    Solution

     

  • Question 10
    4 / -1

    A tangent to the curve, y = f(x) at P(x,y) meets x−axis at A and y−axis at B. If AP : BP = 1 : 3 and f(1)=1, then the curve also passes through the point.

    Solution


     

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