1
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (–8, 5) and (6, 5), then the area of the rectangle (in sq. units) is :
A
72
B
84
C
56
D
98
2
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If a tangent to the circle x2 + y2 = 1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :
A
x2 + y2 – 4x2y2 = 0
B
x2 + y2 - 2xy = 0
C
x2 + y2 – 2x2y2 = 0
D
x2 + y2 - 16x2y2 = 0
3
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The tangent and the normal lines at the point ( $$\sqrt 3 $$, 1) to the circle x2 + y2 = 4 and the x-axis form a triangle. The area of this triangle (in square units) is :
A
$${4 \over {\sqrt 3 }}$$
B
$${1 \over {\sqrt 3 }}$$
C
$${2 \over {\sqrt 3 }}$$
D
$${1 \over {3 }}$$
4
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The sum of the squares of the lengths of the chords intercepted on the circle, x2 + y2 = 16, by the lines, x + y = n, n $$ \in $$ N, where N is the set of all natural numbers, is :
A
210
B
160
C
320
D
105
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