Mathematics

Coordinate-Geometry

Easy

Question

If $capital delta subscript 1$ is the area of the triangle formed by the centroid and two vertices of a triangle, $capital delta subscript 2$ is the area of the triangle formed by the midpoints of the sides of the given triangle then $capital delta subscript 1 colon capital delta subscript 2 equals$

3 : 4
4 : 1
4 : 3
2 : 1

The correct answer is: 4 : 3

If the point $open parentheses x subscript 1 plus t open square brackets x subscript 2 minus x subscript 1 close square brackets comma y subscript 1 plus t open square brackets y subscript 2 minus y subscript 1 close square brackets close parentheses$ divides the join of $open parentheses x subscript 1 comma y subscript 1 close parentheses$ and $open parentheses x subscript 2 comma y subscript 2 close parentheses$ internally, then

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$A space t r i a n g l e space h a s space a space v e r t e x space a t space left parenthesis 1 comma space 2 right parenthesis space a n d space t h e space m i d space p o i n t s space o f space t h e space t w o space s i d e s space t h r o u g h space i t space a r e space left parenthesis – 1 comma space 1 right parenthesis space a n d space left parenthesis 2 comma space 3 right parenthesis. space T h e n space t h e space c e n t r o i d space o f space t h i s space t r i a n g l e space i s space colon$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$A space s t r a i g h t space l i n e space L space a t space a space d i s tan c e space o f space 4 space u n i t s space f r o m space t h e space o r i g i n space m a k e s space p o s i t i v e space i n t e r c e p t s space o n space t h e space c o o r d i n a t e space a x e s space a n d space t h e space p e r p e n d i c u l a r space f r o m space t h e space o r i g i n space t o space t h i s space l i n e space m a k e s space a n space a n g l e space o f space 60 º space w i t h space t h e space l i n e space x space plus space y space equals space 0. space T h e n space a n space e q u a t i o n space o f space t h e space l i n e space L space i s space colon$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$text Lines are drawn parallel to the line end text 4 x minus 3 y plus 2 equals 0 comma text at a distance end text 3 over 5 text from the origin. Then which one of the end text f o l l o w i n g space p o i n t s space l i e s space o n space a n y space o f space t h e s e space l i n e s space ?$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$S u p p o s e space t h a t space t h e space p o i n t s space left parenthesis h comma space k right parenthesis comma space left parenthesis 1 comma space 2 right parenthesis space a n d space left parenthesis – 3 comma space 4 right parenthesis space l i e space o n space t h e space l i n e space L subscript 1. space I f space a space l i n e space L subscript 2 space p a s sin g space t h r o u g h space t h e space p o i n t s space left parenthesis h comma space k right parenthesis space a n d space left parenthesis 4 comma space 3 right parenthesis space i s space p e r p e n d i c u l a r space t o space L subscript 1 comma space t h e n space k over h space e q u a l s minus$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$text Let end text straight O left parenthesis 0 comma 0 right parenthesis text and end text straight A left parenthesis 0 comma 1 right parenthesis text be two fixed points. Then the locus of a point end text P text such that the perimeter of end text straight triangle AOP text is end text 4 comma i s$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$text A point on the straight line, end text 3 x plus 5 y equals 15 space text which is equidistant from the coordinate axes will lie only in - end text$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$I n space a space n o n minus r i g h t minus a n g l e d space t r i a n g l e space increment P Q R comma space l e t space p comma space q comma space r space d e n o t e space t h e space l e n g h t s space o f space t h e space s i d e s space o p p o s i t e space t o space t h e space a n g l e s space a t space P comma space Q comma space R space r e s p e c t i v e l y. space T h e space m e d i a n space f r o m space R space m e e t s space t h e space s i d e space P Q space a t space S comma space t h e space p e r p e n d i c u l a r space f r o m space P space m e e t s space t h e space s i d e space Q R space a t space E space a n d space R S space a n d space P E space i n t e r s e c t space a t space O. space I f space p equals square root of 3 comma space q equals 1 comma space n d space t h e space r a d i u s space o f space t h e space c i r c u m c i r c l e space o f space t h e space increment P Q R space e q u a l s space 1 comma space t h e n space w h i c h space o f space t h e space f o l l o w i n g space o p t i o n s space i s divided by a r e space c o r r e c t space ?$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$text A rectangle is inscribed in a circle with a diameter lying along the line end text 3 y equals x plus 7. text If the two adjacent vertices of the end text text rectangle are end text left parenthesis negative 8 comma 5 right parenthesis text and end text left parenthesis 6 comma 5 right parenthesis comma text then the area of the rectangle (in sq. units) is : end text space$

MathematicsCoordinate-Geometry

Coordinate-Geometry

Mathematics

$I f space t h e space t w o space l i n e s space x plus left parenthesis a minus 1 right parenthesis y equals 1 text and end text 2 x plus a squared y equals 1 left parenthesis a element of R minus left curly bracket 0 comma 1 right curly bracket right parenthesis space a r e space p e r p e n d i c u l a r comma space t h e n space t h e space d i s tan c e space o f space t h e i r space p o i n t space o f space i n t e r s e c t i o n space f r o m space t h e space o r i g i n space i s space colon$

MathematicsCoordinate-Geometry

Grade-1

Mathematics

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

MathematicsGrade-1

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Can’t find what you’re looking for?

If $capital delta subscript 1$ is the area of the triangle formed by the centroid and two vertices of a triangle, $capital delta subscript 2$ is the area of the triangle formed by the midpoints of the sides of the given triangle then $capital delta subscript 1 colon capital delta subscript 2 equals$

3 : 4
4 : 1
4 : 3
2 : 1

The correct answer is: 4 : 3

Related Questions to study

$text Lines are drawn parallel to the line end text 4 x minus 3 y plus 2 equals 0 comma text at a distance end text 3 over 5 text from the origin. Then which one of the end text f o l l o w i n g space p o i n t s space l i e s space o n space a n y space o f space t h e s e space l i n e s space ?$

$text Lines are drawn parallel to the line end text 4 x minus 3 y plus 2 equals 0 comma text at a distance end text 3 over 5 text from the origin. Then which one of the end text f o l l o w i n g space p o i n t s space l i e s space o n space a n y space o f space t h e s e space l i n e s space ?$

$text A point on the straight line, end text 3 x plus 5 y equals 15 space text which is equidistant from the coordinate axes will lie only in - end text$

$text A point on the straight line, end text 3 x plus 5 y equals 15 space text which is equidistant from the coordinate axes will lie only in - end text$

Tell the time the clock shows.

Tell the time the clock shows.

Find the time the clock shows.

Find the time the clock shows.

Choose the clock which shows the time 9 o’clock.

Choose the clock which shows the time 9 o’clock.

Which clock shows the time as 11 o’clock?

Which clock shows the time as 11 o’clock?

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

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Can’t find what you’re looking for?

If is the area of the triangle formed by the centroid and two vertices of a triangle, is the area of the triangle formed by the midpoints of the sides of the given triangle then

3 : 44 : 14 : 32 : 1

The correct answer is: 4 : 3

Related Questions to study

If the point divides the join of and internally, then

If the point divides the join of and internally, then

Tell the time the clock shows.

Tell the time the clock shows.

Find the time the clock shows.

Find the time the clock shows.

Choose the clock which shows the time 9 o’clock.

Choose the clock which shows the time 9 o’clock.

Which clock shows the time as 11 o’clock?

Which clock shows the time as 11 o’clock?

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

With Turito Academy.

With Turito Foundation.

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Turito Academy

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3 : 4
4 : 1
4 : 3
2 : 1