Mathematics Test 9 - Limits And Continuity, Coordinate Geometry, Application Of Derivatives


30 Questions MCQ Test JEE Main Mock Test Series 2020 & Previous Year Papers | Mathematics Test 9 - Limits And Continuity, Coordinate Geometry, Application Of Derivatives


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QUESTION: 1

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QUESTION: 2

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QUESTION: 3

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QUESTION: 4

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QUESTION: 5
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QUESTION: 6

................................................ equals

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QUESTION: 7

If f(a) = 2, f`(a) = 1, g(a) = –1, g`(a) = 2, then value of

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QUESTION: 8

The vertices of a triangle ABC are (2,1),(5,2) and (3,4)respectively. The circumcentre is the point

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QUESTION: 9

If A and B are the points (–3,4) & (2,1). Then the co-ordinates of point C on AB produced such that AC = 2 BC are

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QUESTION: 10

The equation of the line passing through the intersection of x - √3 y + √3 - 1 = 0 and x y–2 = 0 and
making an angle of 150 with the first line is

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QUESTION: 11

If 2x2 + λxy + 2y2 +(λ - 4)x + 6y - 5 = 0is the equation of a circle, then its radius is

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QUESTION: 12

Equation of circles which pass through the points (1,–2) and (3,–4) and touch the x-axis is

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QUESTION: 13

The circle whose centre is on the x-axis and the line 4x–3y–12 = 0 and whose radius is the distance
between the line 4x–3y–32 = 0 and 4x–3y–12 = 0 has equation

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QUESTION: 14

Equation of the circle whose radius is 5 and which touches externally the circle x2 + y2 -2x - 4y - 20 = 0 at
the point (5,5) is

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QUESTION: 15

The number of integral values of  for λ which  x2 + y2 +λx + (1 - λ) y + 5 = 0is the equation of a
circle whose radius cannot exceed 5 is

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QUESTION: 16

The angle at which the circle x2 + y2 = 16 can be seen from the point (8,0) is

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QUESTION: 17

The slope of the tangent at the point (h,h) of the circle  x2 + y2  = a2is

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QUESTION: 18

If f (x) = [x sin p x] { where [x] denotes greatest integer function}, then f (x) is

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QUESTION: 19

The equation of the locus of the mid-points of the chords of the circle 4x2 + 4y2 - 12x + 4y +1 = 0that subtend an anlge of 2π / 3 at its centre is

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QUESTION: 20

The distance of the point (1,2) from the radical axis of the circles x2 + y2 +6x - 16 = 0 and x2 + y2 -2x + 6y = 0  is

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QUESTION: 21

An equilateral triangle is inscribed in the parabola y2= 4ax whose vertex is at the vertex of the parabola.The length of its side is

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QUESTION: 22

If the vertex of a parabola is the point (–3,0) and the directix is the line x 5 = 0, then its equation is 

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QUESTION: 23

Length of latus recutm is one-third of major axis

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QUESTION: 24

The eccentricity of the ellipse  16x2 + 7y2 = 112 is

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QUESTION: 25

If the foci of the ellipse   and the hyperbola coincide, then the value of b2 is

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QUESTION: 26

The eccentricity of the hyperbola whose latus-rectum is 8 and conjugate axis is equal to half the distance between the foci is

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QUESTION: 27

The distance between the foci of hyperbola is 16 and its eccentricity is √2 Its equation is

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QUESTION: 28
The maximum value of sinx cos x cos 2x is
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QUESTION: 29
The function f(x) = xlnx has local minimum at x equals
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QUESTION: 30

If x>0, the minimum value of xx ex is obtained at

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