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WBJEE Previous Year - 2011 - JEE MCQ


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30 Questions MCQ Test WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 - WBJEE Previous Year - 2011

WBJEE Previous Year - 2011 for JEE 2024 is part of WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 preparation. The WBJEE Previous Year - 2011 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Previous Year - 2011 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Previous Year - 2011 below.
Solutions of WBJEE Previous Year - 2011 questions in English are available as part of our WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE & WBJEE Previous Year - 2011 solutions in Hindi for WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt WBJEE Previous Year - 2011 | 240 questions in 300 minutes | Mock test for JEE preparation | Free important questions MCQ to study WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE Exam | Download free PDF with solutions
WBJEE Previous Year - 2011 - Question 1

The eccentricity of the hyperbola  4x2 – 9y2 = 36 is

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WBJEE Previous Year - 2011 - Question 2

The length of the latus rectum of the ellipse 16x2 + 25y2 = 400 is

Detailed Solution for WBJEE Previous Year - 2011 - Question 2

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WBJEE Previous Year - 2011 - Question 3

The vertex of  the parabola  y2 + 6x – 2y + 13 = 0 is

( y −1)2= −6x − 12

( y −1)2= −6(x +12) = 4(-6/4)(x+2)

Vertex →(−2, 1)

WBJEE Previous Year - 2011 - Question 4

The coordinates of a moving point p are (2t2 + 4, 4t + 6). Then  its locus will be a

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WBJEE Previous Year - 2011 - Question 5

The equation  8x2 + 12y2 – 4x + 4y – 1 = 0  represents

Detailed Solution for WBJEE Previous Year - 2011 - Question 5

ax2 + by2+ 2hxy + 2gx + 2fy + c = 0

represents ellipse if h2 −ab< 0

3x2 + 12y2− 4x + 4y − 1 = 0

h =0, a= 3, b = 12

h2 −ab< 0

WBJEE Previous Year - 2011 - Question 6

If the straight line  y = mx lies outside of the circle x2 + y2 – 20y + 90 = 0, then the value of  m will satisfy

Detailed Solution for WBJEE Previous Year - 2011 - Question 6

x2 +m2 x2− 20mx + 90

x2 (1 + m2)− 20mx + 90 = 0

D <0

400m2 − 4× 90 (1 + m2) < 0

40m2 < 360

m2 < 9  ; |m |< 3

WBJEE Previous Year - 2011 - Question 7

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is

Detailed Solution for WBJEE Previous Year - 2011 - Question 7

Centre lies on y-axis  locus  x = 0

WBJEE Previous Year - 2011 - Question 8

The  coordinates of the two points lying on  x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are

Detailed Solution for WBJEE Previous Year - 2011 - Question 8

Let  p (h, 4 − h)

|h + 2|= 5

h =3,−7 ;  p =1, 1

(3,1),(−7,11)

WBJEE Previous Year - 2011 - Question 9

The intercept on the line y = x by the circle x2 + y2 – 2x = 0 is  AB.  Equation of the circle with AB as diameter is

Detailed Solution for WBJEE Previous Year - 2011 - Question 9

x2 + y2 = 0

( 0, 0 ) , (1,1) as diametric ends (x − 0)(x−1) + (y + 0)(y −1) = 0

x2 +y2− x − y = 0

WBJEE Previous Year - 2011 - Question 10

If the coordinates of one end of a diameter of the circle  x2+y2+4x–8y+5=0, is (2,1), the coordinates of the other end is

Detailed Solution for WBJEE Previous Year - 2011 - Question 10

x2 + y2+ 9x − 8y + 5 = 0

Centre circle (–2, 4)

WBJEE Previous Year - 2011 - Question 11

If the three points A(1,6), B(3, –4) and C(x, y) are collinear then the equation satisfying by  x and y is

Detailed Solution for WBJEE Previous Year - 2011 - Question 11

⇒ 1(3y+ 4x) − (y − 6x) +1(−4 −18) = 0

⇒ 3y+ 4x − y + 6x −12 = 0

⇒ 2y+ 10x − 22 = 0

y +5x= 11

WBJEE Previous Year - 2011 - Question 12

and θ lies in the second quadrant, then cosθ is equal to

Detailed Solution for WBJEE Previous Year - 2011 - Question 12

θ in 2nd quad Cosθ < 0

WBJEE Previous Year - 2011 - Question 13

The solutions set of  inequation  cos–1x < sin–1x is

Detailed Solution for WBJEE Previous Year - 2011 - Question 13

cos–1x < sin–1

WBJEE Previous Year - 2011 - Question 14

The number of solutions of  2sinx + cos x = 3 is

Detailed Solution for WBJEE Previous Year - 2011 - Question 14

√5 <3      No solution

WBJEE Previous Year - 2011 - Question 15

Detailed Solution for WBJEE Previous Year - 2011 - Question 15

 

WBJEE Previous Year - 2011 - Question 16

If  θ+ φ = π/4 then (1 + tanθ)(1 + tanφ)  is equal to

Detailed Solution for WBJEE Previous Year - 2011 - Question 16

WBJEE Previous Year - 2011 - Question 17

If sinθ and cosθ are the roots of the equation  ax2 – bx + c = 0, then a, b and c satisfy the relation

Detailed Solution for WBJEE Previous Year - 2011 - Question 17

 sinθ + cosθ = b/a

 sinθ . cosθ = c/a

WBJEE Previous Year - 2011 - Question 18

If  A and B are two matrices such that A+B and AB are both defined, then

Detailed Solution for WBJEE Previous Year - 2011 - Question 18

 Addition is defined if order of A is  equal to order of B

AB is defined if  m  = n

nxm nxm 

⇒ A, B are square matrices of same order

WBJEE Previous Year - 2011 - Question 19

  is a symmetric matrix, then the value of  x is

Detailed Solution for WBJEE Previous Year - 2011 - Question 19

A = AT

WBJEE Previous Year - 2011 - Question 20

Detailed Solution for WBJEE Previous Year - 2011 - Question 20

= -(-21-64)-((1-2i)(7(1+2i)+5i(5-3i)))+5i(1+2i)(5+3i)-15i)

= Real

WBJEE Previous Year - 2011 - Question 21

The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ  and x sin θ – (1 + cos θ) y + a sin θ = 0 is

Detailed Solution for WBJEE Previous Year - 2011 - Question 21

y =  a sin θ

x = a cos θ.

x2 + y2= a2

WBJEE Previous Year - 2011 - Question 22

If sinθ + cosθ = 0 and 0 < θ < π, then θ

WBJEE Previous Year - 2011 - Question 23

The value of cos 15o – sin 15o is

Detailed Solution for WBJEE Previous Year - 2011 - Question 23

WBJEE Previous Year - 2011 - Question 24

he period of the function f(x) = cos 4x + tan 3x is

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WBJEE Previous Year - 2011 - Question 25

If y = 2x3 – 2x2 + 3x – 5, then for x = 2 and Δ x = 0.1 value of  Δ y is

Detailed Solution for WBJEE Previous Year - 2011 - Question 25

WBJEE Previous Year - 2011 - Question 26

The approximate value of 5√33 correct to 4 decimal places is

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WBJEE Previous Year - 2011 - Question 27

The value of  2-2  xcos + xsinx + 1

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WBJEE Previous Year - 2011 - Question 28

For the function f(x) = ecos x , Rolle’s theorem is

Detailed Solution for WBJEE Previous Year - 2011 - Question 28

WBJEE Previous Year - 2011 - Question 29

The general solution of the differential equation 

Detailed Solution for WBJEE Previous Year - 2011 - Question 29

WBJEE Previous Year - 2011 - Question 30

Detailed Solution for WBJEE Previous Year - 2011 - Question 30

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