The equations a x-b-0 and c x-d-0 are consistent- if-A- a d-b cB- a d-b c-0C- a b-c d-0D- a b-c d-0E- None of these

The correct option is A ad = bcThe equations are consistent if a/c=b/d i.e., if ad = bc ...

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Quadratic Equations

The equations...

Question

The equations ax + b = 0 and cx + d = 0 are consistent, if:

ad = bc

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ad + bc = 0

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ab - cd = 0

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ab + cd = 0

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None of these

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In a trapezium ABCD, if AB || CD then $(A C^{2} + B D^{2})$ = ?

(a) $B C^{2} + A D^{2} + 2 B C . A D$

(b) $A B^{2} + C D^{2} + 2 A B . C D$

(d) $B C^{2} + A D^{2} + 2 A B . C D$

x^{2} + a x + b c = 0,

x^{2} + b x + a c = 0,

a \neq b

A = [\begin{matrix} a & b c & d \end{matrix}]

a d - b c = 0

A^{2} = A

a + d

∠ B A C = 90^{\circ} a n d A D ⊥ B C

B D . C D = B C^{2}

A B . A C = B C^{2}

B D . C D = A D^{2}

A B . A C = A D^{2}

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