IPMAT Indore Free Mocks Topic Tests

IPMAT Indore 2024 (MCQ) PYQs

View all IPMAT/JIPMAT PYQs →

Collection of AfterBoards IPMAT JIPMAT Past Year Papers with Solutions

No login required. We have created handwritten solutions for all IPMAT Indore questions for free!

IPMAT Indore 2024

Geometry

>

Circles

Hard

If $\theta$ is the angle between the pair of tangents drawn from the point $(0,\frac{7}{2})$ to the circle $x^2 + y^2 - 14x + 16y + 88 = 0$ , then $\tan \theta$ equals

\frac{4}{5}

\frac{2}{5}

\frac{3}{4}

\frac{20}{21}

Correct Option: 4

Related questions:

IPMAT Indore 2019

A chord is drawn inside a circle, such that the length of the chord is equal to the radius of the circle. Now, two circles are drawn, one on each side of the chord, each touching the chord at its midpoint and the original circle. Let k be the ratio of the areas of the bigger inscribed circle and the smaller inscribed circle, then k equals

IPMAT Indore 2019

On a circular path of radius 6 m a boy starts from a point

A

on the circumference and walks along a chord

AB

of length 3 m. He then walks along another chord

BC

of length 2 m to reach point

C

B

lies on the minor arc

AC

. The distance between point

C

A

IPMAT Indore 2019

x^2 + y^2 - 6x - 10y + k = 0

does not touch or intersect the coordinate axes. If the point

(1, 4)

does not lie outside the circle, and the range of

k

(a, b]

a + b