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Find the equation of tangents at the point (1,2) of `y= x^(2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. Let y(x) be a solution of (1-x^(2)) (dy)/(dx) + 2xy -4x^(2)= 0 and y(0...

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  2. The law of motion of a body moving along a straight line is x= (1)/(2)...

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  3. Find the equation of tangents at the point (1,2) of y= x^(2)

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  4. Given that n numbers of A.Ms are inserted between two sets of numbers ...

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  5. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then the value of ...

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  6. If Z(r )= "sin" (2pi r)/(11)- "I cos" (2pi r)/(11) then underset(r = 0...

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  7. If z(1) and z(2) be two non zero complex numbers such that (z(1))/(z(2...

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  8. If b(1) b(2)= 2(c(1) +c(2))and b(1), b(2), c(1), c(2) are all real num...

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  9. The number of selection of n objects from 2n objects of which n are id...

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  10. Let A be the centre of the circle x^(2) + y^(2)-2x-4y -20 = 0. Let B(1...

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  11. Let f(x) {(-2 sin x,"if " x le - (pi)/(2)),(A sin x + B," if " -(pi)/(...

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  12. The normals to the curve y= x^(2)-x +1, drawn at the points with the a...

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  13. The equation x log x= 3- x

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  14. Consider the parabola y^(2)= 4x. Let P and Q be points on the parabola...

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  15. A ladder 20 ft long leans against a vertical wall. The top end slides ...

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  16. For 0 le p le 1 and for any positive a, b, let I(p)= (a + b)^(p), J(p)...

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  17. Let vec(alpha)= hat(i)+ hat(j) + hat(k), vec(beta) = hat(i) - hat(j)- ...

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  18. Let vec(alpha), vec(beta), vec(gamma) be three unit vectors such that ...

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  19. Let z(1) and z(2) be complex numbers such that z(1) ne z(2) and |z(1)|...

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  20. From a collection of 20 consecutive natural numbers, four are selected...

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