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 – (17-09-2023)
Check out JEE Main importantย Maths Questions for the month of September.
Q.1.ย If the coefficient of x7 in ( ax2 + 1/bx)11 is equal to theย coefficient of xโ7 in (ax – 1/bx2)11ย , 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 โค x โค 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.ย The product of perpendiculars drawn from the origin to the lines represented by the equation, ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, will be
Answer
Check – Important Formulas of Physics for JEE Mains
Q.4.ย If two distinct chords, drawn from the point (p, q) on the circle x2 + y2 = px + qy, (where pq โ 0) are bisected by the x-axis, then
(a) p2 = q2 (b) p2 = 8q2
(c) p2 < 8q2 (d) p2 > 8q2
Answer
Q.5.ย A circle C1 of radius 2 touches both x-axis and y-axis. Another circle C2 whose radius is greater than 2 touches circle C1 and both the axes. Then the radius of circle C2 is
(a) 6 โ 4โ2 (b) 6 + 4โ2
(c) 6 โ 4โ3 (d) 6 + 4โ3
Answer
Q.6.ย If tanย ฮธ= sinย ฮฑ – cosย ฮฑ / sinย ฮฑ + cosย ฮฑ , then sinฮฑ + cosฮฑ and sinฮฑ – cosฮฑ must be equal toย
(a) โ2 cos ฮธ,โ2 sin ฮธ (b) โ2 sin ฮธ , โ2 cos ฮธ
(c) โ2 sin ฮธ, โ2 sin ฮธ (d) โ2 cosย ฮธ, โ2 cosย ฮธ
Answer
Q.7.ย 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) โ = 36/13 (b) โ = 12/17 (c) โ = 13/5 (d) none of these
Answer
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