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sin-1[(1-x)/(1+x)] ...
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Statement-1 : If A is a non singular matrix of order n, then det *Image* will be *Image* Statement 2 : *Image* ANS: C ...
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If point P(1,2,1) lies on the plane 2X-Y+Z=1 considering point Q(0,0,0) ; line segment PQ is rotated in anticlockwise direction with an angle Î /6 (consider the rotation in the plane containing line PQ and perpendicular to gi ...
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find dy/dx where y=cos3(2x) ...
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If k is a constant such that *Image* satisfies the differential equation *Image* , then k may be (a) 1 (b) 0 (c) -1 (d) -2 ANS : 1 ...
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Consider *Image* 1)If δ is replaced by *Image* , then number of extremes will be (a) 1 (b) 0 (c) 2 (d) NONE ANS : 1 2) ...
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∫x2√(x3+1)dx ...
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f:R--> R f(x) = {x+7 , xεQ {√7-x , xεQ c , then f is A) one-one and onto B) one-one and into C) many-one and onto D) many-one and into ...
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STATEMENT--1 *Image* STATEMENT--2 tHE PRESENCE--NO2 group makes the benzene ring less susceptible to oxidation. So the other ring gets ruptured. ...
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For the reaction 2HI(g)[eq]H2(g)+I2(g) equilibrium constant is 25 at 500K. 1 moles HI is added to the system, the value of equilibrium constant at same temp. is ...
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An aqueous solution of a given salt was made alkaline with solid NH4cl and NH4OH solution. H2S gas was then passed through the test tube. A black precipitate appeared. Which of the following conclusions is most appropriate ab ...
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The elogation in spring 1 just after breaking spring2 A) mg/k B) 2mg/k C) mg/2k D) none *Image* ...
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f; R--> R f(x) = {x + √5 , x εQ {√5- x , x εQc , THEN f is A) one-one & onto B) one-one and into C) many-one & onto D) many-one and into ...
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STATEMENT--1 The minimum distance between the parabola y2 = 4x and the circle x2 + y2-54y +704 0 is √522. STATEMENT--2 Shortest distance between two non intersecting curves occurs along the common normal. ...
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Let A≡(9,6), B(4,-4) be two points on parabola Y2=4x and P(t2,2t), tε[-2,3] be a variable point on it such that area of ΔPAB is maximum, then point P will be A) (4,4) B) (3,-2√3) C) (4,1) D) (1/4,1) ...
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Coefficient of X6 IN *Image* is (A)26 (B)28 (C)30 (D)35 ...
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Let PQRS be a rectangle of size 9X3,if it is folded along QS such that plane PQS is perpendicular to plane QRS and point R moves to point T. If θ is angle between the line QP and QT then tanθ is equal to A) 3/10 B) 10/3 C) ...
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find dy/dx at x=0, y=(x-1)/(x3+x2+x+1) ...
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Number of common points for the curves *Image* and *Image* is (where[.] denotes greatest integer function) (a)0 (b)1 (C)3 (D)none of these ...
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A certain amount of ideal monoatamic gas undergoes, process given by UV1/2 = C where U is the internal energy of the gas. The molar specific heat of the gas for the process will be (c=constant) A) R/2 B) 3R C) 5R/2 D) -R/2 ...
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The following question contains ONE OR MORE correct answer A glass prism is immersed in a hypothetical liquid. The graph shows the variation of refractive index of glass and liquid with the wavelength of light. When a ray of ...
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STATEMENT_1 consider the arrangement shown in figure. A smooth conducting rod, CD, is lying on a smooth U - shaped conducting wire making good electrical contact with it. The U -shape conducting wire is fixed and lies in hori ...
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The following question contains ONE OR MORE correct answer The power dissipated in resistor is 15W. The reading of ammeter and voltmeter are 500mA and 10V respectively. Ammeter, voltmeter and battery are ideal *Image* (A) the ...
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1/(1.3)+1/(3.5)+1/(5.7)+....... to n terms is ...
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A wooden block, with a coin placed on its top, floats in water. The length of block inside water is 'l' and the height of water is 'h'. After sometime the coin falls into the water. Then ...
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Q3 if f'(x)≠0, the max number of real roots of f''(x)=0 is/are ...
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Which of the following can exhibit geometrical isomerism? ...
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AB has NaCl type structure. If the radius of the cation A is 90 pm, then the radius of the anion will be ...
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what will be the result when simple H+ /H2O will be added???? see the options from the above given list................. ...
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An electron changes its velocity from 100m/s towards south to 100m/s towards west in 0.1 seconds. The average acceleration is given by? ...