Maths-
General
Easy
Question
The line
and
intersect the line
at P and Q respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R
Statement - 1 : The ratio PR : RQ equals ![2 square root of 2 colon square root of 5](data:image/png;base64,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)
Statement - 2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.
- Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1
- Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1
- Statement-1 is true, Statement-2 is false
- Statement-1 is false, Statement-2 is true
The correct answer is: Statement-1 is true, Statement-2 is false
Related Questions to study
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If one of the lines given by
is 3x + 4y = 0, then c equals :
If one of the lines given by
is 3x + 4y = 0, then c equals :
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If the sum of first
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If the sum of first
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is
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, then the value of x in terms of y is
If
, then the value of x in terms of y is
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Given the lines y + 2x = 3 and y + 2x = 5 cut the axes at A, B and C, D respectively.
Statement- I ABDC forms quadrilateral and point (2, 3) lies inside the quadrilateral
Statement- II Point lies on same side of the lines.
Given the lines y + 2x = 3 and y + 2x = 5 cut the axes at A, B and C, D respectively.
Statement- I ABDC forms quadrilateral and point (2, 3) lies inside the quadrilateral
Statement- II Point lies on same side of the lines.
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The x-coordinates of the vertices of a square of unit area are the roots of the equation
and the y-coordinates of the vertices are the roots of the equation
then the possible vertices of the square is/are :
therefore the possible vertices of the square are (1,1),(1,2),(2,1),(2,2) and (−1,1),(−1,2),(−2,2),(−2,1)
The x-coordinates of the vertices of a square of unit area are the roots of the equation
and the y-coordinates of the vertices are the roots of the equation
then the possible vertices of the square is/are :
Maths-General
therefore the possible vertices of the square are (1,1),(1,2),(2,1),(2,2) and (−1,1),(−1,2),(−2,2),(−2,1)
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The straight lines x + y = 0, 3x + y - 4 = 0 and x + 3y -4 = 0 form a triangle which is
therefore it forms an isosceles triangle
The straight lines x + y = 0, 3x + y - 4 = 0 and x + 3y -4 = 0 form a triangle which is
Maths-General
therefore it forms an isosceles triangle
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Equation of a straight line passing through the point (4, 5) and equally inclined to the lines 3x = 4y + 7 and 5y = 12x + 6 is
Equation of a straight line passing through the point (4, 5) and equally inclined to the lines 3x = 4y + 7 and 5y = 12x + 6 is
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If the equation
represents a pair of lines whose slopes are m and
, then value(s) of a is/are -
If the equation
represents a pair of lines whose slopes are m and
, then value(s) of a is/are -
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maths-
The curve passing through the points of intersection of
and
represents a pair of straight lines which are
The curve passing through the points of intersection of
and
represents a pair of straight lines which are
maths-General
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The number of divisors of
and
are in
The number of divisors of
and
are in
maths-General
maths-
The equation of perpendicular bisector of the line segment joining the points (1, 2) and (–2, 0) is -
The equation of perpendicular bisector of the line segment joining the points (1, 2) and (–2, 0) is -
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If
are in
If
are in
maths-General
maths-
An infinite GP has first term
and sum 5, then
An infinite GP has first term
and sum 5, then
maths-General
maths-
Area of a triangle whose vertices are
is
Area of a triangle whose vertices are
is
maths-General
maths-
In a geometric progression (GP) the ratio of the sum of the first three terms and first six terms is 125:152 the common ratio is
In a geometric progression (GP) the ratio of the sum of the first three terms and first six terms is 125:152 the common ratio is
maths-General