IIT-JEE 2007 Paper 2 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-0

Let $$(x,y)$$ be such that $${\sin ^{ - 1}}(ax) + {\cos ^{ - 1}}(y) + {\cos ^{ - 1}}(bxy) = {\pi \over 2}$$.

Match the statements in Column I with the statements in Column II.

	Column I		Column II
(A)	If $$a=1$$ and $$b=0$$, then $$(x,y)$$	(P)	lies on the circle $$x^2+y^2=1$$
(B)	If $$a=1$$ and $$b=1$$, then $$(x,y)$$	(Q)	lies on $$(x^2-1)(y^2-1)=0$$
(C)	If $$a=1$$ and $$b=2$$, then $$(x,y)$$	(R)	lies on $$y=x$$
(D)	If $$a=2$$ and $$b=2$$, then $$(x,y)$$	(S)	lies on $$(4x^2-1)(y^2-1)=0$$

$$\mathrm{A-(p),B-(q),C-(s),D-(p)}$$

$$\mathrm{A-(q),B-(p),C-(p),D-(s)}$$

$$\mathrm{A-(p),B-(q),C-(p),D-(s)}$$

$$\mathrm{A-(p),B-(r),C-(p),D-(s)}$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-0

Match the statements in Column I with the properties Column II.

	Column I		Column II
(A)	Two intersecting circles	(P)	have a common tangent
(B)	Two mutually external circles	(Q)	have a common normal
(C)	Two circles, one strictly inside the other	(R)	do not have a common tangent
(D)	Two branches of a hyperbola	(S)	do not have a common normal

$$\mathrm{A-(p);B-(p),(q);C-(q),(r);D-(q)}$$

$$\mathrm{A-(p),(q);B-(q);C-(r);D-(q),(r)}$$

$$\mathrm{A-(q);B-(p),(q);C-(q),(r);D-(r)}$$

$$\mathrm{A-(p),(q);B-(p),(q);C-(q),(r);D-(q),(r)}$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of $$\pm0.05\;\mathrm{mm}$$ at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of $$\pm0.01\;\mathrm{mm}$$. Take g = 9.8 m/s² (exact). The Young's modulus obtained from the reading is

$$\left(2.0\;\pm\;0.3\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

$$\left(2.0\;\pm\;0.2\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

$$\left(2.0\;\pm\;0.1\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

$$\left(2.0\;\pm\;0.05\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

A particle moves in the X - Y plane under the influence of a force such that its linear momentum is $$\overrightarrow p \left( t \right) = A\left[ {\widehat i\cos (kt) - \widehat j\sin (kt)} \right]$$, where A and k are constants. The angle between the force and the momentum is

$$0^\circ $$

$$30^\circ $$

$$45^\circ $$

$$90^\circ $$

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