Mathematics Test 76

Result

Mathematics Test 76

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

If eq. x² + bx + ca = 0 & x² + cx + ab = 0 have a common root then eq. containing their other roots as a roots :-

A
x² + ax + bc = 0

B
ax² + bx + c = 0

C
x² – bcx + a = 0

D
None of these

Solution

x² + bx + ca = 0           α β

x² + cx + ab = 0           α, γ

–          –       –

(b–c) x + (a) (c–b) = 0

(b–c) x = (b – c) a

(x = a = α)

αβ = ac             αγ = ab

aβ = ac             aγ = ab

β = c                γ = b

eq. is x²– (b + c)x + bc = 0
Question 2
4 / -1

The number of real solution of equation (3/2)^{x =}- x²+ 5x - 10 :-

A
1

B
2

C
4

D
No solution

Solution

Let f(x) = –x² + 5x – 10 and g(x) = (3/2)^x

f(x)_max = -D/4a = -15/4 and g(x) > 0

so f(x) = g(x) has no Real solutions.
Question 3
4 / -1

Roots of the equation

a(b–c)x² + b(c–a)x + c(a–b) = 0 are :-

A
1, b(c-a)/a(b-c)

B
1, c(a-b)/a(b-c)

C
1, c(a-b)/b(c-a)

D
1, a(b-c)/c(a-b)

Solution

Sum of coefficient = 0 so one root is 1

and other root is 1, c(a-b)/a(b-c)