Free MCQs & Online Quiz Practice for Exams

Q: If distance between centers of two circles equals sum of radii, the circles will

A) Intersect

B) Not intersect

C) Touch each externally

D) Touch each internally

Q: If the sum of the roots of "(a+1)x²+(2a+3)x+(3a+4)=0" is -1 then the product of roots is;

A) 0

B) 1

C) 2

D) 3

Q: In a circle, two chords equally distant from center are

A) Congruent

B) Not congruent

C) Parallel

D) Not parallel

Q: If AB and CD are two chords of same circle and AB<CD

A) AB is closer to O

B) AB must be parallel to CD

C) CD is closer to O

D) Can't decide

Q: A chord 5 cm from center of circle of radius 13 cm, The length of the chord is:

A) 6 cm

B) 12 cm

C) 24 cm

D) 30 cm

Q: A chord 40 units long is contained in a circle of radius 25. The Distance of chord from center of the circle is:=

A) 15 units

B) 31.2 units

C) 47.1 units

D) 50.1 units

Q: A chord 8√3 units long is 4 units from center. Radius=

A) 14.4 units

B) 8 units

C) 8√3 units

D) 8√2 units

Q: 1/ (x²-1)

A) 1/(x+1) - 1/(x-1)

B) 1/2(x+1) - 1/2(x-1)

C) 1/2(x-1) - 1/2(x+1)

D) 2/(x-1) - 1/2(x+1)

Q: If P(x) and Q(x) are two polynomials then P(x)/Q(x), Q(x)≠0 is

A) Rational fraction

B) Proper fraction

C) Irrational fraction

D) Improper fraction

Q: (x²+2)/(x²+2x+2) is

A) Proper fraction

B) Irrational fraction

C) Improper fraction

D) None of these

Q: What is the quotient when (x³-8x²+16x-5) is divided by (x-5)?

A) x²-x+5

B) x²-3x+2

C) x²-3x+1

D) x²+13x-49+240/(x+5)

Q: How many tangents can be drawn to a circle from a point outside the circle?

A) 1

B) 2

C) 3

D) 4

Q: The tangent to a circle is always ___ to the radius at the point of contact.

A) Parallel

B) Perpendicular

C) Equal

D) Secant

Q: The distance from the external point to the points of contact of two tangents is

A) Equal

B) Not equal

C) Greater

D) Less

Q: A line that touches a circle at exactly one point is called

A) Diameter

B) Secant

C) Chord

D) Tangent

Q: Two circles touch externally. The number of common tangents is

A) 1

B) 2

C) 3

D) 4

Q: The length of tangents drawn from an external point to a circle are

A) Equal

B) Unequal

C) Greater than radius

D) Smaller than radius

Q: A diameter is the longest chord of a circle.

A) True

B) False

C) Depends

D) Not sure

Q: If two chords of a circle are equal they are:

A) Parallel

B) Equidistant from the center

C) Unequal from center

D) NONE OF THESE

Q: If AB and CD are two chords of a circle such that AB < CD then

A) Both are equidistant

B) AB is closer to center

C) CD is closer to center

D) CAN'T DECIDE