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JEE Main Mock 98

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Question 1

If P = (1, 0) and Q = (–1, 0) and R = (2, 0) are three given points, the locus of the point S satisfying the relation SQ² + SR² = 2SP² is-

Question 2

Given four lines whose equations are x + 2y – 3 = 0, 2x + 3y – 4 = 0, 3x + 4y – 7 = 0 and 4x + 5y – 6 = 0 then

Question 3

The common chord of the circle x² + y² + 6x + 8y – 7 = 0 and a circle passing through the origin, and touching the line y = x, always passes through the point

Question 4

Let the line lx + my = 1 cut the parabola y² = 4ax in the points A and B. Normals at A and B meet at point C. Normal from C other than these two meet the parabola at D, then the coordinate of D are

Question 5

Which of the following statements is correct about heat of combustion–

Question 6

The decomposition of hydrogen peroxide in an aqueous solution is a reaction of first order. It can be followed by titrating 10 ml portions of reaction mixture at various times from the beginning of reaction against a standard solution of KMnO₄. Volume of KMnO₄ solution used in each case is proportional to the remaining concentration of H₂O₂. From the following data, calculate the rate constant of the reaction.