JEE Main 2019 (Online) 9th April Evening Slot | Circle Question 107 | Mathematics

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 :

JEE Main 2019 (Online) 9th April Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

The common tangent to the circles x ² + y² = 4 and x² + y² + 6x + 8y – 24 = 0 also passes through the point :

(6, –2)

(4, –2)

(–4, 6)

(–6, 4)

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

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 :

x² + y² – 4x²y² = 0

x² + y² - 2xy = 0

x² + y² – 2x²y² = 0

x² + y² - 16x²y² = 0

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

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 :

$${4 \over {\sqrt 3 }}$$

$${1 \over {\sqrt 3 }}$$

$${2 \over {\sqrt 3 }}$$

$${1 \over {3 }}$$

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