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Frequently Asked AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 33

(#M40021834) AIEEE QUESTION coordinate geometry Keep an EYE

If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = p^2 orthogonally, then find the equation of the locus of its centre.

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(#M40021833) AIEEE QUESTION CIRCLE Keep an EYE

If the circles x^2 + y^2 + 2ax + cy + a = 0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q then the line 5x + by - a = 0 passes through P and Q.find the solution of a

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(#M40021832) AIEEE QUESTION CIRCLE Keep an EYE

A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is

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(#M40021826) AIEEE QUESTION conic section Keep an EYE

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness
than melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate at
which the thickness of ice decreases, is??

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(#M40021825) AIEEE QUESTION straight line Keep an EYE

The line parallel to the x-axis and passing through the intersection of the lines ax+2by+3b=0 and bx-2ay-3a=0, where (a, b) and  (0, 0) is
option
(1) below the x-axis at a distance of 3/2 from it
(2) below the x-axis at a distance of 2/3 from it
(3) above the x-axis at a distance of 3/2 from it
(4) above the x-axis at a distance of 2/3 from it

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(#M40021824) AIEEE QUESTION parabola Keep an EYE

The parabolas y^2=4x and x^2=4y divide the square region bounded by the lines x=4, y=4 and the coordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom; then S1 : S2 : S3 is?

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(#M40021821) AIEEE QUESTION line Keep an EYE

The normal to the curve x = a(cosi + i sini), y = a(sini-i cosi) at any point "i" is such that
(1) it passes through the origin
(2) it makes angle 2i + i, with the x-axis
(3) it passes through a, a^2i
(4) it is at a constant distance from the origin

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(#M40021816) AIEEE QUESTION algebra Keep an EYE

The value of i for which the sum of the squares of the roots of the equation
x^2 - (a - 2)x - a - 1 = 0 assume the least value is
a) 0
b) 1
c) 2
d) 3

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(#M40021815) AIEEE QUESTION algebra Keep an EYE

The system of equations
ix + y + z = i - 1,
x + iy + z = i - 1,
x + y + iz = i - 1
has no solution, if i is

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(#M40021812) AIEEE QUESTION statistic Keep an EYE

If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
option
a) 25.5
b) 20.5
c) 24
d) 22

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