Engineering Entrance Sample Papers

Maths EAMCET Sample Paper

eamcet important questions in maths

Maths EAMCET Sample paper (PDF) has 80 objective type questions with answers. Correct answer is bold marked.

Ques. If 2z1 – 3z2 + z3 = 0 then z1, z2, z3 are represented by
(a) three vertices of a triangle
(b) three collinear points
(c) three vertices of a rhombus
(d) none of these
Ans: (b)

Ques. A chord of the circle x2 + y2 = a2 cuts it at two points A and B such that angle AOB is a right angle where O is the centre of the circle. If there is a moving point P on this circle then the locus of orthocentre of △PAB will be a
(a) parabola
(b) circle
(c) straight line
(d) none of these
Ans: (b)

Ques. If one root of the equation x2 + px + 12 = 0 is 4, while the equation x2 + px + q = 0 has equal roots, then the value of q is
(a) 49/4
(b) 4/49
(c) 4
(d) none of these
Ans: (a)

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Ques. If 7x – y + 3 = 0, x + y – 3 = 0 are the equations of two equal sides of an isosceles triangle and (1, 0) is on the base, then the equation of the third side is
(a) x + 3y – 1 = 0
(b) 3x + y – 3 = 0
(c) 7x – y – 7 = 0
(d) x – 7y = 1
Ans: (b)

Ques. If x–coordinate of a point P on the join of Q (2, 2, 1) and R(5, 1, –2) is 4, then its z–coordinate is
(a) –2
(b) –1
(c) 1
(d) 2
Ans: (b)

Ques. The tangent to y2 = 4x at the points (1, 2) and (4, 4) meet on the line
(a) x = 3
(b) y = 3
(c) x + y = 4
(d) y – 2 = 0
Ans: (b)

Ques. From an urn containing 3 white and 5 black balls, 4 balls are transferred into an empty urn. From this urn a ball is drawn and found to be white. The probability that out of four balls transferred, 3 are white and 1 is black, is
(a) 1/3
(b) 1/7
(c) 2/3
(d) none of these
Ans: (b)

Ques. The radical axis of the two circles having centres at C1 and C2 and radii r1 and r2 is neither intersecting nor touching any of the circles, if
(a) C1C2 = 0
(b) 0 < C1C2 < |r1 – r2|
(c) C1C2 = |r1 – r2|
(d) |r1 – r2| < C1C2 < r1 + r2
Ans: (b)

Ques. In a test an examine either guesses or copies or knows the answer to a multiple choice question with 4 choices. The probability that he makes a guess is 1/3 and the probability that he copies the answer is 1/6. The probability that his answer is correct given that he copied it is 1/8. the probability that he know the answer to the question given that he correctly answered it.
(a) 24/29
(b) 8/29
(c) 13/29
(d) none of these
Ans: (a)

Ques. The locus of an end of latus-rectum of all ellipses having a given major axis is
(a) straight line
(b) parabola
(c) ellipse
(d) circle
Ans: (b)

Ques. Let f(x) = x3 + 3x2 + 33x + 2 for x > 0 and ‘g’ be its inverse, then the value of ‘K’ such that Kg’ (2) = 1, is
(a) 33
(b) 42
(c) 12
(d) all of the above
Ans: (a)

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Ques. Numbers of zeros at the end of 300 ! is equal to
(a) 75
(b) 89
(c) 74
(d) 98
Ans: (c)

Ques. If f(x) = max {|16 – x2 |, |x|}, the minimum value of f(x) in the interval [–3, 3] is
(a) 2
(b) 6
(c) 4
(d) none of these
Ans: (a)

Ques. If the straight line y = mx is outside the circle x2 + y2 – 20y + 90 = 0, then
(a) m > 3
(b) m < 3
(c) |m| > 3
(d) |m| < 3
Ans: (d)

Ques. Let f(x) = a – (x – 3)8/9, then greatest value of f(x) is
(a) 3
(b) a
(c) no maximum value
(d) none of these
Ans: (b)

Ques. The largest value of a third order determinant whose elements are equal to 1 or 0 is
(a) 1
(b) 2
(c) 3
(d) none of these
Ans: (b)

Ques. The differential equation corresponding to the family of curves y = ex (a cos x + b sin x), a and b being arbitrary constant is
(a) 2y2 + y1 – 2y = 0
(b) y2 – 2y1 + 2y = 0
(c) 2y2 – y1 + 2y = 0
(d) none of these
Ans: (b)

Ques. Which one is True?
(a) sin 1 > sin 2 > sin 3
(b) sin 1 < sin 2 < sin 3
(c) sin 1 < sin 3 < sin 2
(d) sin 3 < sin 1 < sin 2
Ans: (b)

Ques. If the vertex is (2, 0) and the extremities of the latus rectum are (3, 2) and (3, –2), then the parabola is
(a) y2 = 2x – 4
(b) x2 = 4y – 8
(c) y2 = 4x – 8
(d) none of these
Ans: (c)

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Ques. A pregnancy test is done on 100 pregnant women and 100 non-pregnant women. Test suggests out of 100 pregnant woman, 2 are pregnant and 8 out of 100 non-pregnant woman are pregnant. A woman is selected randomly and test is done which says woman is pregnant. What is the probability woman is non-pregnant.
(a) ½
(b) 92/100
(c) 8/100
(d) none of these
Ans: (c)

Ques. The value of tan 42o tan66o tan78o is equal to
(a) 1
(b) tan6 o
(c) cot6 o
(d) tan18 o
Ans: (c)

Ques. The graph of the function y = f(x) is symmetrical about x = 2, then
(a) f(x + 2) = f(x – 2)
(b) f(2 + x) = f(2 – x)
(c) f(x) = f(–x)
(d) none of these
Ans: (b)

Ques. Value of 10Cr/11CR, when numerator and denominator takes their greatest value, is
(a) 6/11
(b) 5/11
(c) 10/6
(d) 10/5
Ans: (a)

Ques. If a variable line has its intercepts on the co–ordinates axes e, e’ , where e/2, e’/2 are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle x2 + y2 = r2, where r =
(a) 1
(b) 2
(c) 3
(d) cannot be decided
Ans: (b)

Ques. If a1, a2, a3, … is an A.P. such that a1 + a5 + a10 + a15 + a20 + a24 = 225 then a1 + a2 + a3 + … + a23 + a24 is equal to
(a) 909
(b) 75
(c) 750
(d) 900
Ans: (d)

Ques. If a, b, c are in A.P. 10ax + 10, 10bx + 10, 10cx + 10 are in
(a) A.P.
(b) G.P. when x > 0
(c) G.P. for all x
(d) G.P. when x < 0
Ans: (c)

Ques. Sum of coefficients in the expansion of (x + 2y + z)10 is
(a) 210
(b) 310
(c) 1
(d) none of these
Ans: (d)

Download all 80 questions using link below  Maths EAMCET Sample Paper (PDF)

https://www.examsegg.com/downloads/maths/maths-eamcet-sample-paper.pdf

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