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IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 3

(#M40028142) IIT-JEE QUESTION 2008 Question Keep an EYE

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.
The probability that X = 3 equals

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(#M40028141) IIT-JEE QUESTION 2008 Question Keep an EYE

In a triangle ABC with fixed base BC, the vertex A moves such that cosB + cosC = 4 sin^2(A/2)..If a, b and c
denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, then
(A) b + c = 4a (B) b + c = 2a
(C) locus of point A is an ellipse (D) locus of point A is a pair of straight lines

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(#M40028140) IIT-JEE QUESTION 2008 Question Keep an EYE

Tangents drawn from the point P (1, 8) to the circle x^2 + y^2 − 6x − 4y − 11 = 0 touch the circle at the points
A and B. The equation of the circumcircle of the triangle PAB is

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(#M40028139) IIT-JEE QUESTION 2008 Question Keep an EYE

Let P(3, 2, 6) be a point in space and Q be a point on the line r = (ˆi − ˆj+ 2kˆ ) + μ(−3ˆi + ˆj+ 5kˆ ) . Then the
value of μ for which the vector PQ
is parallel to the plane x − 4y + 3z = 1 is

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(#M40028138) IIT-JEE QUESTION 2008 Question Keep an EYE

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^2 + 9y^2 = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is

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(#M40028137) IIT-JEE QUESTION 2008 Question Keep an EYE

Let z = x + iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation zz^3 + zz^3 = 350 is
option
(A) 48
(B) 32
(C) 40
(D) 80

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(#M40028136) IIT-JEE QUESTION 2008 Question Keep an EYE

The correct statement(s) regarding defects in solids is(are)
(A) Frenkel defect is usually favoured by a very small difference in the sizes of cation and anion
(B) Frenkel defect is a dislocation defect
(C) Trapping of an electron in the lattice leads to the formation of F-center
(D) Schottky defects have no effect on the physical properties of solids

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(#M40028135) IIT-JEE QUESTION 2008 Question Keep an EYE

The compound(s) that exhibit(s) geometrical isomerism is(are)
(A) [Pt(en)Cl2] (B) [Pt(en)2]Cl2
(C) [Pt(en)2Cl2]Cl2 (D) [Pt(NH3)2Cl2]

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(#M40028134) IIT-JEE QUESTION 2008 Question Keep an EYE

The correct statement(s) about the compound H3C(HO)HC−CH=CH−CH(OH)CH3 (X) is(are)
(A) The total number of stereoisomers possible for X is 6
(B) The total number of diastereomers possible for X is 3
(C) If the stereochemistry about the double bond in X is trans, the number of enantiomers possible for
X is 4
(D) If the stereochemistry about the double bond in X is cis, the number of enantiomers possible for X is 2

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(#M40028133) IIT-JEE QUESTION 2008 Question Keep an EYE

The compound(s) formed upon combustion of sodium metal in excess air is(are)
(A) Na2O2 (B) Na2O
(C) NaO2 (D) NaOH

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