User Forum

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

The algebraic sum of the deviations of a frequency distribution from its mean is _____.

A Always positive
B Always negative
C 0
D A non-zero number

Which of the following statements is INCORRECT ?
(i) In order to divide a line segment internally in the ratio m : n, both m and n are real numbers.
(ii) A pair of tangents can be constructed to a circle inclined at an angle of 165°.

AOnly (i)
BOnly (ii)
CBoth (i) and (ii)
DNeither (i) nor (ii)

In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of Fig. (X) would complete the pattern.


A
B
C
D

Which of the following is the mirror image of the given combination, when mirror is kept vertically left?
4Q2PR345Z

A
B
C
D

A transparent sheet (x) with a pattern and a dotted line is given. Select a figure from the option as to how the pattern would appear. When the transparent Sheet (x) is folded along the dotted line.


A
B
C
D

In which of the following options Fig. (X)is exactly embedded as one of its part.


A
B
C
D