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  • Question 1
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    For a student to qualify for a certain course, the average of his marks in the permitted 3 attempts must be more than 60. His first two attempts yielded only 45 and 62 marks respectively. What is the minimum score required in the third attempt to qualify?

  • Question 2
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    Find the value of x which satisfies 5x –3 <7, where x is a natural number.

  • Question 3
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    If the line 2x –y + λ = 0 is a diameter of the circle  x2 +y2 +6x −6y+5 = 0 then  λ=

  • Question 4
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    Length of common chord of the circles  x2 +y2 +2x+6y = 0 and  x2 +y2 −4x −2y −6 = 0 is  

  • Question 5
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    The circles  x2 +y2 +6x+6y = 0 and  x2 +y2 −12x −12y = 0

  • Question 6
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    An ellipse having foci at (3,3) and (-4,4) and passing though the origin has eccentricity equal to  

  • Question 7
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    The length of the major axis of the ellipse (5x - 10)2 + (5y  + 15)2  

  • Question 8
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    The eccentric angle of a point on the ellipse   at a distance of 5/4  units from  the focus on the  positive x-axis, is  

  • Question 9
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    In the given figure,as per law of cosine which is the correct formula for a2

  • Question 10
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    In the given figure, X will be

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