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Q) f(x) = (x+1)(x+2)(x+3)(x+4)+5 , where x belongs to [-6,6]. If the range of d function is [a,b] , where a,b belongs to N. Find the value of a+b ? Q) f(x) = x^135+x^125 - x^115 +x^5 +1 r(x) = x^3 - x when f(x) / r(x) , then ...
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Q) Find the no. of three elements sets of positive integers ( a,b,c ) such that a*b*c = 2310. Q) Find the no. of integers between 1 and 10000 with at least one 8 and at least one 9 as digits. ...
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Q) A student attends an exam carrying four sets of question papers , each set carrying m questions with equal marks alloted. To qualify the exam, he needs to get 2m questions correct. In how many ways can he qualify the exam ...
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Q) A point charge q is placed at the origin. Calculate the electric flux through the open hemispherical surface : (x-a)^2+y^2+z^2=a^2 , x ≥ a. ...
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If y = sinx/1 + cosx/1 + sinx/1 + cosx/1 + ............ upto infinty. then prove ; \frac{dy}{dx} = \frac{(1+y)cosx+sinx}{1+2y+cosx-sinx} ...
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Q) Let S1 and S2 be foci of an ellipse of equation : (x^2/a^2)+(y^2/b^2)=1 Locus of reflection of S1 with respect to any tangent to the ellipse is : a) circle b) parabola c) ellipse d) hyperbola ...
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Q) Hydroxide ion catalyses the reaction of piperdine with 2,4 - dinitroanisole but has no effect on the reaction of piperdine with 1-chloro , 2.4- dinitrobenzene. Explain why hydroxide ion acts as a catalyst in one reaction b ...
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*Image* plz try this. my method is lengthy. thus , hoping for a bit conservative than that. ...
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Q) *Image* ...
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f(x) = x3 + x2 + kx + 4 is increasing function and the least positive integral value of k is P1. If the angle between y=\left[\sqrt{1-sin^2x}+\sqrt{1-cos^2x} \right] (where [] represents greatest integer function ) and X- axi ...
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Consider a large hollow sphere of radius 'R' in which small solid sphere of radius 'r' has to be placed in closest pascking. ( assume r=R/10) 1) Maximum no. of small spheres that can be filled into the large hollow sphere are ...
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Q.1) \lim_{x\rightarrow 0}(\left[f(x) \right]+x^2)^1^/^\left\{f(x) \right\} , where f(x) = (tanx/x) and \left\{f(x) \right\} denotes fractional part of f(x) and [f(x)] denotes the greatest integer function of f(x). is equal t ...
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1) In LCR circuit , if (1/LC)<(R^2/4L^2) , the circuit would be : a) oscillatory b) dead beat c) critically damped d) none of these 2) A circuit has an inductance 10 mH, capacitance 0.1 \mu F and resistance 1 K \Omega s. I ...
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*Image* ...
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Q.1) If 3 tan^-^1 [1/(2+\sqrt{3})] - tan^-^1(1/x) = tan^-^1(1/3) , then x equals : a) 1 b) 2 c)3 d) √3 here , [] doesn't mean greatest integer function. Q,2) How can polarisation of acrolein be expressed ? acrolein : CH2=CH ...
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HELLO ALL. THIS THREAD IS A REVIVAL OF b555 ' S INTEGRATION SIKHO THREAD. THAT HAS BEEN A VERY SUCCESSFUL THREAD , PARTICIPATED BY MANY TIITians. BUT , STILL MANY QUESTIONS OF THAT THREAD ARE REMAINING PENDING. SO, I'M POSTIN ...
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Q.1 ) FIND THE VALUE OF DETERMINANT : 265 240 219 240 225 198 219 198 181 Q.2) A thin lens is made with a material of refractive index 1.5 with both sides convex is dipped in water ( R.I.=1.33) , then how will it behave ? Q.3 ...
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Q1 Which of the following quantum numbers are permitted? a) ) n=3, l=3, m=2, s=1/2 b) n=4, l=0, m=1, s=1/2 c) ) n=3, l=1, m=-2, s=-1/2 d) n=2, l=1, m=1, s=-1/2 Your Answer: (c) Correct Answer: (d) Score: -1 Explaination : l s ...
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Q. How can the polarisation of 'acrolein' be written ? CH2=CH -CH=O ( here the middle dash is the single bond ) ...
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Q. Find the sum : 1 + 5 + 19 + 49 + 101 + 181 + 295 ................. ...
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∫ dx / (x + √x2-1)2 = ? ( here its a whole square root) ...
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Q.1) prove : (n+1 / 2)n ≥ n! Q.2) prove : 2n + x Cn .2n-x Cn ≤ (2nCn)2 Q.3) If s be the sum of n +ve unequal quantities a,b,c,..... then prove that : s/s-a + s/s-b + s/s-c +...... > n2 / n2-1 ...
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∫ 555x * 55x * 5x dx = ? ...
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Q.1) If A and B represent complex number z1 and z2 in the argand plane,then how r the slope and complex slope of AB is defined ? To find the line perpendicular to a line: az' + a'z + b = 0, is the slope or the complex slope c ...
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Q) (A)( yellow coloured solution ) changes to light green coloured solution (B), on passing H2S gas. (A) and(B) both give white precipitate with BaCl2 solution, insoluble in conc. HCl . (A) gives blue coloured precipitate (C) ...
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HELLO ALL. ANYONE PREPARING FOR IIT-JEE WOULD SURELY GET HIS TOPICS DONE, BUT DURING THEIR PREPARATION, MORE THAN MANY,NEGLECT A SUBJECT CALLED INORGANIC CHEMISTRY. THIS ALSO CREATES A DIFFERENCE IN RANKS.TO,AVOID THAT FOR TI ...
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If f is a real-valued differentiable function satisfying |f(x) - f(y)| ≤ (x-y)2,x,y belong to R and f(0)=0,then f(1) equals a.1 b.2 c.0 d.-1 ...
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1/22-1 + 1/42-1 + 1/62-1 +..............1/202-1 = ? a.9/19 b.10/19 c.10/21 d.11/21 ...
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A ball of mass m is moving horizontally with a constant velocity v towards a rigid wall.The wall is moving perpendicular to the direction of motion of ball with a constant speed u. Assuming elastic collision between the ball ...
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whats the order of basic nature of the compounds NF3,PF3,AsF3,SbF3,BiF3 ? And why ? ...
