As you want to get the details of Gujarat Common Entrance Test eligibility criteria and the syllabus so here it is for you:

Eligibility:
Candidates must have passed class 12 with Physics, Chemistry and Biology as main subjects from any recognized board.

Exam Pattern:
The question paper of GUJCET Medical 2014 will be on the basis of chapters studied at 10+2 level.

Selection Procedure:
Candidates will be selected on the basis of their performance in the GUJCET Medical 2014 entrance exam.

Important Dates:
Last date of submitting GUJCET Medical 2014 Application Form is April 15, 2014.
The entrance exam of GUJCET Medical 2014 will be held on May 08, 2014.

Exam Pattern:
Subject Name Total Time-120 minutes for both *
Physics 40 Questions and 40 Marks
Chemistry 40 Questions and 40 Marks

Subject Name Total Time-120 minutes for each subject
Biology 40 Questions and 40 Marks
Mathematics 40 Questions and 40 Marks

Syllabus of Gujarat Common Entrance Test:

Some content of the file has been given here:

Unit – 1
Point
• Co-ordinater system in R1 and R2 and distance function in R1 and R2. Properlier of distance
function in R1 & R2
• The circumculer, centroid and Incenter of the triangle and Area of the triangle.
• Division of line-segment (Internal-External). Co-ordinater of the Division point. The necessary
and efficient condition for three points in R2 to be collinear. Locus-Point

UNIT – 2
Line and Lines
• The parametric equalians, cartesian equalism and some of the subsets of a line in sel notation
form. The slope of a line and its geometrical interpretation. The necessary and sufficient condition
for two distint lines are to be (i) parallel & (ii) mitually perperdicualr. The measures of an angle
between the two intersecting lines and the equation of the bisectors of the angle between the
two intersecting lines. The intercepts on the axes and slope of a line
ax + by + c = 0. Various forms of equation of lines. The perpeudicular distance p and measure
of . concurrant lines-point of concurrace point. The system of equation of lines passing through
the point of intersection of two lines. The perpendialr distance of (x, y) from the line ax + by
+ c = 0, (a2 + b2 0)

UNIT – 3
Circle
• The standard eqation, general equation and parametric equation of a circle. The centre and radius
of the general equation of circles. The equation of a circle touching the axes. The equation of
a circle where the extremities of the diameter are given. The intersection of line ax + by + c
= 0 (a2 + b2 0) with the circle x2 + y2 = r2. The position of a point w.r.t the circle. The
equalium of a tangent to the circle at a given point. The condition in the tengency of line to
the circle and co-ordinats of point of contact. Length of the tangent drawn to the circle from
the point outside the circle. Relation between two circles.

UNIT – 4
Parabola:
• Section of a Double cone by a plane. The standard equation and parametric equation of the
parabola. Focus, directrix, Latus Rectaum of the parabola. The equation of a tangent at point
(x1, y1) and at (t– point, of the parabola. The necessary and sufficiant. condition for a line y
= mx + c (c = 0) to be a tangent to the parabola and the co-ordination of point of contact.
23
The properties of paralbola.

UNIT – 5.
Ellipse
• The standard equation & parametric equation of Ellipse the focii, Directrics, eccentricity, Latus
- Rectum, equation of Auxilliary and Directes cirlce of the ellipse. The equation of tangent at
point (x1, y1) and at -point and the necessary and sufficient condition for y = mx + c to be
a tangent to the ellipse and the co-ordinaters of point of contact. Properties of the ellipse. The
position of a point w.r.t. the ellipse.

UNIT – 6
Hyperlorla
• The standard equation, parametric equation, focii, Directrics eccentricity, Lutus - Rectum, equation
of Auxilliary and Directes circle of the Hyperlorla. The equation of tangent at point (x1, y1) and
at -point and the necessary and sufficient condition for y = mx + c to be a tangent to the
hyperlorla and the co-ordinaters of point of contact. The properties of hyperlorla, Adymptoter
and rectangular hyperlorla its equation and eccentricity and Foci.

UNIT – 7
Vector space and vecter Algebra - Geometric Representation of vedors
Properties of vector space
• Inner product, outer product, Box-product, Lagrauge’s Identity, geometric representation in R3,
position vector, geometrical vectors An arbitarary reprentation of vector and direction of vectors.
The necessary and sufficient condition for the vectors to be equal unique unit vector in the diredion
of non-null vector swartz’s in-equality. Angle between the two vectors. Osthogonal vector.
• The vector perpeudicular to both the vector x & y.
• Unit vectors in the direction of axes.
• Direction Angle, Direction cosiners, Direction ratios in R2 & R3.
• Collinear & Co-planar vectors. The necessary and suffcient condition for two non-null vectors
are to be collinear in R2 & R3. The necessary and sufficient condtion for three non-null vectors
are to be coplaner in R3.

UNIT – 8.
Applications of vectors to Geometry and Physics.
• Application & vectors to co-ordinate Geometry.
• Area of triangle and Geometrical meaning of |a b| 
• The projection of vectors.
• For  ABC a
sin A
b
sin B = c
sin C
• Volume of a paralelopiped and Tetrahedron.
24
• Application of vectors in physics. force, its magnitude and it is direction. Work and relative velocity.

UNIT – 9
Line in space
• The equation of line passing through A ( ) a and having direction of non null veder l . Its parametric
and cartesian equation.
• The equation of line passing through A ( ) a and B ( ) b - its parametric and cartesian equation.
• The necessary and sufficient - condition for three, distinct non-null vectors of R3 to be collinear.
Angle between two lines. The condition for two Intersecting lines. - coplanes lines and skew
lines. Perpeudicular distance of a point from the line. The distance between the two parallel lines
the shortest distance between the two skew lines.

UNIT – 10
Plane
• The vector equation, parametric equation and the cartesion equation in scalar form of a plane.
The normal to the plane. The equation of a plane having intercepts a, b, c on the axes. Condition
for four points of R3 to be coplaner.
The equation of a plane in (r – a ) • n = 0 form. The equation of a plane in
x cos + y cos + z cos = p    from. The angle between the two planes. The equation of
the plane passing through two interseting and paraller lines. The perpendicular distance of a point
from the plane. The distance between the two paralle planes. The commansection of the intersection
of two planes. The equation of a plane passing through two intersting planes. Image of a point
w.r.t. plane. Angle between line and plane.

UNIT – 11
Sphere
• The vector, cartesian and general equation of sphere.
• The condition for the general equation represent the sphere its radius and centre.
• The equation of a sphere where exterimites of diameter are given.

UNIT – 12
Limit & Limit of a Sequence
• Interval, Neighbourhood, Properties of Neighbourhood
• Some important functions like Modulus function, Constant function, Identity function. Integer part
function. Celling function. Exponential function. Logarathmatic function. Tri-function. Polynomial
function. Rational function. Signum function.
• Odd - Even function.
• Limit of a function.
• L.H.S. & R. H. S. limit of function. Continuous function and continuty.
• Continuous function.
• Working rules of limit.





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