To help students prepare and perform better at JEE Mains Maths, MTG has come up with JEE Mains Maths questions for the upcoming exam. These questions are likely to appear in JEE Mains 2024, the ones considered most important. Questions are provided with answers. We will make sure to update every month. Check them out.
JEE Mains Maths Questions with Solutions – (17092023)
Check out JEE Main important Maths Questions for the month of September.
Q.1. If the coefficient of x^{7} in ( ax^{2 }+ 1/bx)^{11 }is equal to the coefficient of x^{–7} in (ax – 1/bx^{2})^{11 }, then ab =
(a) 1 (b) 1/2 (c) 2 (d) 3
Answer
Q.2.If the probability density function of a random variable X is f(x) = x/2 in 0 ≤ x ≤ 2, then P(X > 1.5  X > 1) is equal to
(a) 7/16 (b) 3/4 (c) 7/12 (d) 21/64
Answer
Q.3. The product of perpendiculars drawn from the origin to the lines represented by the equation, ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0, will be
Answer
Check – Important Formulas of Physics for JEE Mains
Q.4. If two distinct chords, drawn from the point (p, q) on the circle x^{2} + y^{2} = px + qy, (where pq ≠ 0) are bisected by the xaxis, then
(a) p^{2} = q^{2} (b) p^{2} = 8q^{2}
(c) p^{2} < 8q^{2} (d) p^{2} > 8q^{2}
Answer
Q.5. A circle C_{1} of radius 2 touches both xaxis and yaxis. Another circle C_{2} whose radius is greater than 2 touches circle C_{1} and both the axes. Then the radius of circle C_{2} is
(a) 6 − 4√2 (b) 6 + 4√2
(c) 6 − 4√3 (d) 6 + 4√3
Answer
Q.6. If tan θ= sin α – cos α / sin α + cos α , then sinα + cosα and sinα – cosα must be equal to
(a) √2 cos θ,√2 sin θ (b) √2 sin θ , √2 cos θ
(c) √2 sin θ, √2 sin θ (d) √2 cos θ, √2 cos θ
Answer
Q.7. A pair of straight lines drawn through the origin form with the line 2x + 3y = 6 an isosceles right angled triangle, then the area of the triangle thus formed is
(a) ∆ = 36/13 (b) ∆ = 12/17 (c) ∆ = 13/5 (d) none of these
Answer
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