Mathematics Test 94

Result

Mathematics Test 94

Score
-
out of -
Rank
-
out of -

TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

If P = log (ax+ y), where y² = a²x² + c, then the value of dp/dx is :

A
c / a+x

B
cx / 2

C
a / y

D
cy / a
Question 2
4 / -1

The number of points at which the function f(x) = 1 / log IxI is discontinuous is :

A
1

B
2

C
0

D
4

Solution

f (x) = 1 / log IxI

say log x is discontinuous at x = 0

and 1 / log x is discontinuous at x = 0,

x = 1 and x = –1

So, (C) is correct.
Question 3
4 / -1

In a triangle ABC, altitude from its vertex meet the opposite sides in D, E and F. Then the perimeter of the triangle DEF is-

Where Δ is the area of the triangle ABC and all other symbols have their usual meaning.

A
abc / 4R²

B
2Δ / R

C
2rs / R

D
option 2 and option 3 are correct
Question 4
4 / -1

In ΔABC with usual notations if a² + 4 + b² + 4c² = 4a + 4bc, then

A
length of internal angle bisector through A is b / 3 cos A/2

B
sinB / sinC = 2

C
length of internal angle bisector through A is 2b / 3 cos A/2

D
option 1 and option 3 are correct