User Forum

Which of the following Venn diagrams best represents the relationship amongst, 'Gas, Water and Helium'?

A
B
C
D

In the given figure, PQL and PRM are tangents to the circle with centre O at the points Q and R, respectively and S is a point on the circle such that ∠SQL = 50° and ∠SRM = 60°. Then, ∠QSR is equal to ______.


A60°
B70°
C50°
D55°

Obtain all the zeroes of the polynomial f(x) = 3x⁴ + 6x³ – 2x² – 10x –5, if two of its zeros are and – .

A 1, –1
B 1, 1
C –1, –1
D 1, 0

Which of the following statements is incorrect?
(A) Sum of n terms of the list of numbers .

(B) The common difference of the A.P. given by an = 3n + 2 is 3.
(C) The sum of the A.P. (–5), (–8), (–11), ..., (–230) is – 8930.

A Only (A)
B Only (B)
C Both (A) and (B)
D (A), (B) and (C)

If 2 is a root of the equation x² + bx + 12 = 0 and the equation x² + bx + q = 0 has equal roots, then q is equal to

A 8
B –8
C 16
D –16

Out of group of Swans, times the square root of number of Swans are playing on the shore of the tank. Remaining two are quarreling in the water. Find the total number of swans and the number of Swans playing on the shore of the tank respectively.

A14, 16
B16, 12
C14, 12
D16, 14

In a trapezium ABCD, AB∥DC, DC = 2AB and EF∥AB, where E and F lie on BC and AD respectively such that If diagonal DB intersects EF at G, then 7EF = kAB. Find the value of k.

A7
B9
C10
D11

The rationalising factor of is ____.

A
B
C
D

How many values of c, for which the system of equations
6x + 3y = c – 3, 12x + cy = c
has infinitely many solutions?

A 1
B 2
C 3
D Infinite

Given below are the steps of construction of a pair of tangents to a circle of radius 6 cm from a point on the concentric circle of radius 8 cm. Find which of the following steps is INCORRECT?
Steps of Construction
Step I : Take a point O on the plane paper and draw a circle of radius OA = 6 cm. Also, draw a concentric circle of radius OB = 8 cm.
Step II : Find the mid-point A of OB and draw a circle of radius BA = AO. Suppose this circle intersects the circle of radius 6 cm at P and Q.
Step III : Join BP and BQ to get the desired tangents.

A Step I
B Step II
C Step I and Step II
D Step II and Step III