In the fig. XY || AC and XY divides triangular region ABC into two part equal in

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Question
In the fig. XY || AC and XY divides triangular region ABC into two part equal in area.

Then AX is equal to :

AB
Options
A. 1 ?2
B. ?2 + 2 ?2
C. 1 2
D. ?2 - 2 ?2

Correct Answer

?2 - 2 ?2

Explanation

Plane Geometry problems

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1.
In a ? ABC, the bisectors of ? B and ? C intersect each other at a point O. Then ? BOC is equal to :
Options
A. 90 � - 1 ?A 2
B. 120� + 1 ?A 2
C. 90 � + 1 ?A 2
D. 120� - 1 ?A 2

2.
In a ? ABC, the sides AB and AC are produced to P and Q respectively. The bisectors of ? OBC and ? QCB intersect at a point O. Then ? BOC is equal to:
Options
A. 90 � + 1 ?A 2
B. 90 � - 1 ?A 2
C. 120� + 1 ?A 2
D. 120� - 1 ?A 2

3.
In the figure, BD and CD are angle bisectors of ? ABC and ? ACE, respectively. Then ? BDC is equal to :
Options
A. ?BAC
B. 2?BAC
C. 1 ?BAC 2
D. 1 ?BAC 3

4.
ABCD is a parallelogram and X, Y are the mid-points of sides AB and CD respectively. Then quadrilateral AXCY is a :
Options
A. parallelogram
B. rhombus
C. square
D. rectangle

5.
Of all the chords of a circle passing through a given point in it, the smallest is that which :
Options
A. Is trisected at the point
B. Is bisected at the point
C. Passes through the centre
D. None of these

6.
Two poles of ht. a and b meters are p meters apart ( b > a). The height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is :
Options
A. a+b ab
B. p a+b
C. ab a+b
D. a+b p

7.
If log 2 = 0.3010, then the number of digits in 2 ⁶⁴ is?
Options
A. 18
B. 19
C. 20
D. 21

8.
The value of $ \frac{\log_{a}{x}}{\log_{ab}{x}} - \log_{a}{b}$ is?
Options
A. 0
B. 1
C. a
D. ab

9.
The value of log ₂3 x log ₃2 x log ₃4 x log ₄3 is?
Options
A. 1
B. 2
C. 3
D. 4

10.
Given that log ₁₀ 2 = 0.3010, then log ₂ 10 is equal to?
Options
A. 0.3010
B. 0.6990
C. 1000 / 301
D. 699 / 301

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