1. Xtra Edge February 2012 - Career Point
1. Xtra Edge February 2012 - Career Point 1. Xtra Edge February 2012 - Career Point
Passage # 1 (Ques. 14 to 16) PCl5 in solid state exists as PCl4 + and PCl6 – . Also in some solvents it undergoes dissociation as 2PCl5 PCl4 + + PCl6 – 14. The geometry and hybridisation of PCl5 is - (A) Trigonal bipyramid, sp 3 d (B) Tetrahedral, sp 3 (C) Octahedral, sp 3 d 2 (D) none of these 15. The geometry and hybridisation of PCl4 + is - (A) Tetrahedral, sp 3 (B) Octahedral, sp 3 d 2 (C) Trigonal pyramid, sp 3 d (D) See-saw, sp 3 d 16. The geometry and hybridisation of PCl6 – is - (A) Octahedral, sp 3 d 2 (B) Tetrahedral, sp 3 d 2 (C) Square planar bipyramid, sp 3 d (D) See-saw, sp 3 d Passage # 2 (Ques. 17 to 19) The IE 1 and IE II in kJ/mol of a few elements are given in the following table Element IEI in kJ/Mol IEII in kJ//mol P 2372 5251 Q 520 7300 R 900 1760 S 1680 3380 17. Which of the above element is likely to be alkali metal ? (A) P (B) Q (C) R (D) S 18. Which of the above element is likely to be alkaline earth metal ? (A) P (B) Q (C) R (D) S 19. Which of the above element is likely to be noble gas? (A) P (B) Q (C) R (D) S This section contains 3 questions (Questions 20 to 22). Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column I have to be matched with statements (P, Q, R, S) in Column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example. If the correct matches are A-P, A-S, B-Q, B-R, C-P, C-Q and D-S, then the correctly bubbled 4 × 4 matrix should be as follows : P Q R S A P Q R S B P Q R S C P Q R S D P Q R S Mark your response in OMR sheet against the question number of that question in section-II. + 6 marks will be given for complete correct answer and No Negative marks for wrong answer. However, 1 mark will be given for a correctly marked answer in any row. 20. Column-I Column-II (A) Primary standard base (P) Na2C2O4 Molecular wt (B) Equiv. wt = (Q) Na2B4O7 2 (C) Primary standard reducing (R) Na2CO3 agent (D) Capable of reducing hardness of water due to the presence of Ca (S) As2O3 2+ 21. Column-I Column-II (A) Tc/Pc (P) Z (B) Tc/Vc (Q) a/Rb (C) TB (R) 8b/R (D) Ti/TB (S) 8a/81 Rb 2 22. Column-I Column-II XtraEdge for IIT-JEE 64 FEBRUARY 2012 (A) (B) (C) P A V T B (P) P A B (Q) Isotherm P A B T Temperature is increasing (R) Isochoric
(D) P A T B (S) Pressure is increasing MATHEMATICS Questions 1 to 9 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. + 3 marks will be given for each correct answer and – 1 mark for each wrong answer. 1. In a ∆ABC, if r = r2 + r3 –r1 and ∠A > π/3 then range s of is equal toa ⎛ 1 ⎞ ⎛ 1 ⎞ ⎛ 1 ⎞ (A) ⎜ , 2⎟ (B) ⎜ , ∞⎟ (C) ⎜ , 3⎟ (D) (3, ∞) ⎝ 2 ⎠ ⎝ 2 ⎠ ⎝ 2 ⎠ 2. Vector perpendicular to î – j ˆ – k ˆ and in the plane of î + j ˆ + kˆ and – î + j ˆ + kˆ is (A) î + kˆ (B) 2 î + j ˆ + kˆ (C) 3 î +2 j ˆ + k ˆ (D) 4 î – 2 j ˆ –2 k ˆ 3. If a, b ∈ R, a ≠ 0 and roots of ax 2 – bx + 1 = 0 imaginary, then a + b + 1 is (A) Zero (B) Positive (C) Negative (D) None of these 4. Number of distinct normals that can be drawn to the curve x 2 = 4y from point (1, 2), is (A) 0 (B) 1 (C) 2 (D) 3 5. ABC is a triangle whose medians AD and BE are perpendicular to each other. If AD = p and BE = q then area of ∆ABC is- 2 (A) pq 3 3 (B) pq 2 4 (C) pq 3 3 (D) pq 4 6. If (21.4) a = (0.00214) b =100, then the value of 1 1 – is : a b (A) rational but not integral (B) prime (C) irrational (D) composite 7. For 3 ≤ r ≤ n n Cr + 3 n Cr–1 + 3 n Cr–2 + n Cr–3 is- (A) n+3 Cr (B) 2 n+2 Cr+2 (C) 3 n+1 Cr+1 (D) 3 n Cr 8. Point of intersection of straight lines represented by 6x 2 + xy – 40y 2 – 35x – 83y + 11 = 0 is- (A) (3, 1) (B) (3, –1) (C) (–3, 1) (D) (–3, –1) 9. Number of points outside the hyperbola 3x 2 – y 2 = 48 from where two perpendicular tangents can be drawn to the hyperbola is/are - (A) 1 (B) 2 (C) infinite (D) None This section contains 4 questions numbered 10 to 13, (Reason and Assertion type question). Each question contains Assertion (A) and Reason (R). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. +3 marks will be given for each correct answer and – 1 mark for each wrong answer. The following questions given below consist of an "Assertion" (A) and "Reason" (R) Type questions. Use the following Key to choose the appropriate answer. (A) If both (A) and (R) are true, and (R) is the correct explanation of (A). (B) If both (A) and (R) are true but (R) is not the correct explanation of (A). (C) If (A) is true but (R) is false. (D) If (A) is false but (R) is true. 10. Assertion (A) : The length of the shortest intercept made by the family of lines (1 + λ) x + (λ – 1) y + 2 (1– λ) = 0 on the parabola x 2 = 4(y – 1) is 5. Reason (R) : Latus rectum is the shortest focal chord of the parabola. 11. Assertion (A) : If S1 and S2 are non-concentric circles then their radical axis must exist. Reason (R) : S1,S2, S3 are three circles such that no two are concentric then their radical centre is defined. 12. Assertion (A) : If two straight lines intersect the xaxis at A and B and y-axis at C and D such that OA.OB = OC.OD, O being origin then points A, B, C, D are concyclic. Reason (R) : If a secant through a point P intersects a circle at Q and R then PQ.PR is independent of the direction of the secant. 13. Assertion (A) : The equation (log x) 2 – log x 3 + 2 = 0 has only one solution. Reason (R) : log x 2 = 2 log x if x > 0 This section contains 2 paragraphs; each has 3 multiple choice questions. (Questions 14 to 19) Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. +4 marks will be given for each correct answer and – 1 mark for each wrong answer. XtraEdge for IIT-JEE 65 FEBRUARY 2012
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Passage # 1 (Ques. 14 to 16)<br />
PCl5 in solid state exists as PCl4 + and PCl6 – . Also in<br />
some solvents it undergoes dissociation as<br />
2PCl5 PCl4 + + PCl6 –<br />
14. The geometry and hybridisation of PCl5 is -<br />
(A) Trigonal bipyramid, sp 3 d<br />
(B) Tetrahedral, sp 3<br />
(C) Octahedral, sp 3 d 2<br />
(D) none of these<br />
15. The geometry and hybridisation of PCl4 + is -<br />
(A) Tetrahedral, sp 3<br />
(B) Octahedral, sp 3 d 2<br />
(C) Trigonal pyramid, sp 3 d<br />
(D) See-saw, sp 3 d<br />
16. The geometry and hybridisation of PCl6 – is -<br />
(A) Octahedral, sp 3 d 2<br />
(B) Tetrahedral, sp 3 d 2<br />
(C) Square planar bipyramid, sp 3 d<br />
(D) See-saw, sp 3 d<br />
Passage # 2 (Ques. 17 to 19)<br />
The IE 1 and IE II in kJ/mol of a few elements are<br />
given in the following table<br />
Element IEI in kJ/Mol IEII in kJ//mol<br />
P 2372 5251<br />
Q 520 7300<br />
R 900 1760<br />
S 1680 3380<br />
17. Which of the above element is likely to be alkali<br />
metal ?<br />
(A) P (B) Q (C) R (D) S<br />
18. Which of the above element is likely to be alkaline<br />
earth metal ?<br />
(A) P (B) Q (C) R (D) S<br />
19. Which of the above element is likely to be noble gas?<br />
(A) P (B) Q (C) R (D) S<br />
This section contains 3 questions (Questions 20 to 22).<br />
Each question contains statements given in two columns<br />
which have to be matched. Statements (A, B, C, D) in<br />
Column I have to be matched with statements (P, Q, R, S)<br />
in Column II. The answers to these questions have to be<br />
appropriately bubbled as illustrated in the following<br />
example. If the correct matches are A-P, A-S, B-Q, B-R,<br />
C-P, C-Q and D-S, then the correctly bubbled 4 × 4<br />
matrix should be as follows :<br />
P Q R S<br />
A P Q R S<br />
B P Q R S<br />
C P Q R S<br />
D P Q R S<br />
Mark your response in OMR sheet against the question<br />
number of that question in section-II. + 6 marks will be<br />
given for complete correct answer and No Negative<br />
marks for wrong answer. However, 1 mark will be<br />
given for a correctly marked answer in any row.<br />
20. Column-I Column-II<br />
(A) Primary standard base (P) Na2C2O4<br />
Molecular wt<br />
(B) Equiv. wt =<br />
(Q) Na2B4O7<br />
2<br />
(C) Primary standard reducing (R) Na2CO3<br />
agent<br />
(D) Capable of reducing<br />
hardness of water due to<br />
the presence of Ca<br />
(S) As2O3<br />
2+<br />
2<strong>1.</strong> Column-I Column-II<br />
(A) Tc/Pc (P) Z<br />
(B) Tc/Vc (Q) a/Rb<br />
(C) TB (R) 8b/R<br />
(D) Ti/TB (S) 8a/81 Rb 2<br />
22. Column-I Column-II<br />
<strong>Xtra</strong><strong>Edge</strong> for IIT-JEE 64 FEBRUARY <strong>2012</strong><br />
(A)<br />
(B)<br />
(C)<br />
P A<br />
V<br />
T<br />
B<br />
(P)<br />
P A B (Q) Isotherm<br />
P<br />
A<br />
B<br />
T<br />
Temperature<br />
is increasing<br />
(R) Isochoric
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