JEE Main Mathematics Practice Questions with Key

1. The diagonals of parallelogram PQRS are along the lines x + 3y = 4 and 6x - 2y = 7. Then PQRS can be a
(A) rectangle (B) square
(C) cyclic quadrilateral (D) rhombus

2. The equation of the line perpendicular to x + y + 1 = 0 can be
(A) y − x +1 = 0 (B) y − x −1 = 0
(C) y − 2x + 2 = 0 (D) y − x − 2 = 0

3. If the co-ordinates of the vertices of a triangle are rational numbers then which of the following points of the triangle will always have rational co-ordinates
(A) centroid (B) incentre
(C) circumcentre (D) orthocentre

4. The diagonal of a parallelogram PQRS are along the lines x + 3y = 4 and 6x − 2y = 7 then PQRS must be a
A) rectangle B) square
C) cyclic quadrilateral D) rhombus

5. The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal
A) is linear
B) is homogeneous of first degree
C) has separable variable
D) is second order

6. The numbers 1, 4, 16 can be three terms, not necessarily consecutive, of
A) no A.P. B) only one G.P.
C) infinite number of A.Ps.
D) infinite number of G.Ps.

KEY: 1) BD 2) ABD 3) ACD 4) BD 5) AB 6) CD

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