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Maths-

General

Easy

Question

The median AD of the triangle ABC is bisected at E and BE meets AC at F. If AF:AC =1/k then the value k

1
2
3
4

The correct answer is: 3

$table row cell text end text text B end text text y end text text end text text u end text text s end text text i end text text n end text text g end text text end text text m end text text e end text text n end text text e end text text l end text text a end text text w end text text ´ end text text s end text text end text text t end text text h end text text e end text text o end text text r end text text e end text text m end text text end text fraction numerator A E over denominator F D end fraction times fraction numerator D B over denominator R C end fraction times fraction numerator C F over denominator F A end fraction equals 1 end cell row cell rightwards double arrow fraction numerator 1 over denominator 1 end fraction times fraction numerator 1 over denominator 2 end fraction times fraction numerator C F over denominator F A end fraction equals 1 rightwards double arrow fraction numerator A F over denominator F C end fraction equals fraction numerator 1 over denominator 2 end fraction end cell row cell therefore fraction numerator A F over denominator A C end fraction equals fraction numerator 1 over denominator 3 end fraction rightwards double arrow K equals 3 end cell end table$

Related Questions to study

In the figure, $blank stack A B with bar on top divided by stack C D with bar on top divided by stack E F with bar on top$ If AB = 6 cm, BE = 4cm, CD = 10cm, then EF + EC = ... Cm.

In the figure, $blank stack A B with bar on top divided by stack C D with bar on top divided by stack E F with bar on top$ If AB = 6 cm, BE = 4cm, CD = 10cm, then EF + EC = ... Cm.

In the figure, $angle equals angle A C E D$ , AB = 9cm, AD = 7cm, CD = 8cm and CE = 10cm Then DE = ?

In the figure, $angle equals angle A C E D$ , AB = 9cm, AD = 7cm, CD = 8cm and CE = 10cm Then DE = ?

In the figure, $stack A B with bar on top divided by divided by stack Q R with bar on top blank$ If AB = 3cm, PB = 2cm and PR = 6cm then QR = ? cm.

In the figure, $stack A B with bar on top divided by divided by stack Q R with bar on top blank$ If AB = 3cm, PB = 2cm and PR = 6cm then QR = ? cm.

parallel

In the figure, $stack A B with bar on top divided by divided by stack C D with bar on top$ and $stack A C with rightwards arrow on top intersection stack B D with bar on top equals 0 blank$ If OA = 3x – 1, OB = 2x + 1, OC = 5x – 3, OD = 6x – 5 then AC =....units.

Hence AC=12

In the figure, $stack A B with bar on top divided by divided by stack C D with bar on top$ and $stack A C with rightwards arrow on top intersection stack B D with bar on top equals 0 blank$ If OA = 3x – 1, OB = 2x + 1, OC = 5x – 3, OD = 6x – 5 then AC =....units.

Hence AC=12

Two line segments $stack A B with bar on top$ and $stack C D with bar on top$ intersect at E such that $triangle A C E tilde operator triangle B D E times$ If AE = 4cm, BE = 3cm, CE=6cm and DE = x cm then x = ?

Hence x=2

Two line segments $stack A B with bar on top$ and $stack C D with bar on top$ intersect at E such that $triangle A C E tilde operator triangle B D E times$ If AE = 4cm, BE = 3cm, CE=6cm and DE = x cm then x = ?

Hence x=2

In the figure, AB = BC = CD = DE = EF and AF = AE Then $angle A$ = ?

In the figure, AB = BC = CD = DE = EF and AF = AE Then $angle A$ = ?

parallel

In the figure, AB = AC, $angle A equals 48 to the power of ring operator end exponent$ and $angle A C D equals 18 to the power of ring operator end exponent$ Then

Hence BC=CD

In the figure, AB = AC, $angle A equals 48 to the power of ring operator end exponent$ and $angle A C D equals 18 to the power of ring operator end exponent$ Then

Hence BC=CD

In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =

Hence x+y>180^o

In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =

Hence x+y>180^o

In $triangle A B C comma text if end text angle A plus angle B equals 84 to the power of ring operator end exponent comma angle B plus angle C equals 146 to the power of ring operator end exponent$ then $angle B equals$

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The vectors $stack a with minus on top text and end text stack b with minus on top$ are mutually perpendicular then $stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals$

The vectors $stack a with minus on top text and end text stack b with minus on top$ are mutually perpendicular then $stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals$

If $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ be the three vectors such that $stack a with minus on top cross times stack b with minus on top equals stack c with minus on top text and end text stack b with bar on top cross times stack c with bar on top equals stack a with bar on top$ then

If $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ be the three vectors such that $stack a with minus on top cross times stack b with minus on top equals stack c with minus on top text and end text stack b with bar on top cross times stack c with bar on top equals stack a with bar on top$ then

If $stack a with minus on top equals stack i with minus on top plus stack j with minus on top plus stack k with minus on top comma stack b with minus on top equals stack i with minus on top minus stack j with minus on top plus stack k with minus on top$ then $stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals$

If $stack a with minus on top equals stack i with minus on top plus stack j with minus on top plus stack k with minus on top comma stack b with minus on top equals stack i with minus on top minus stack j with minus on top plus stack k with minus on top$ then $stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals$

parallel

If $a with minus on top to the power of blank comma b with minus on top to the power of blank comma c with rightwards arrow on top$ represents the reciprocal system of vectors of $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ then $Error converting from MathML to accessible text.$

If $a with minus on top to the power of blank comma b with minus on top to the power of blank comma c with rightwards arrow on top$ represents the reciprocal system of vectors of $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ then $Error converting from MathML to accessible text.$

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The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is

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