1
JEE Advanced 2018 Paper 1 Offline
Numerical
+3
-0
A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring farmer F2 takes away the region which lies between the sides PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of $$\Delta $$PQR, then the value of n is .................
Your input ____
2
JEE Advanced 2018 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Let S be the circle in the XY-plane defined the equation x2 + y2 = 4.

Let E1E2 and F1F2 be the chords of S passing through the point P0 (1, 1) and parallel to the X-axis and the Y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope$$-$$1. Let the tangents to S at E1 and E2 meet at E3, then tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3 and G3 lie on the curve
A
x + y = 4
B
(x $$-$$ 4)2 + (y $$-$$ 4)2 = 16
C
(x $$-$$ 4)(y $$-$$ 4) = 4
D
xy = 4
3
JEE Advanced 2018 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Let S be the circle in the XY-plane defined the equation x2 + y2 = 4.

Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve
A
(x + y)2 = 3xy
B
x2/3 + y2/3 = 24/3
C
x2 + y2 = 2xy
D
x2 + y2 = x2y2
4
JEE Advanced 2018 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, i = 1, 2, 3, 4, 5. But, on the examination day, the five students are randomly allotted the five seats.

(There are two questions based on Paragraph "A", the question given below is one of them)

The probability that, on the examination day, the student S1 gets the previously allotted seat R1, and NONE of the remaining students gets the seat previously allotted to him/her is
A
$${3 \over {40}}$$
B
$${1 \over 8}$$
C
$${7 \over 40}$$
D
$${1 \over 5}$$
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