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JEE MAINS PREVIOUS YEAR-APPLICATION OF DERIVATIVES-All Questions
- If lim(x to oo) (sqrt(x^(2) -x+1) -ax)=b, then the ordered pair (a, b)...
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- If p and q are positive real numbers such that p^2+""q^2=""1 , t...
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- A value of C for which the conclusion of Mean Value Theorem holds f...
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- The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...
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- How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...
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- Suppose the cube x^3""p x""+""q has three distinct real roots wh...
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- Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...
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- The shortest distance between the line yx=1 and the curve x=y^2 is ...
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- Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...
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- Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...
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- The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...
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- The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...
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- A spherical balloon is filled with 4500p cubic meters of helium gas...
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- The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...
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- If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...
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- A bird is sitting on the top of a vertical pole 20 m high and its e...
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- The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...
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- Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...
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- A wire of length 2 units is cut into two parts which are bent respe...
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- The radius of a circle, having minimum area, which touches the curve y...
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- Twenty metres of wire is available for fencing off a flower-bed in ...
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