Maths-
General
Easy
Question
Orthocentre of triangle with vertices (0, 0), (3, 4) and (4, 0) is
- (3,12)
- (3,9)
The correct answer is: ![open parentheses 3 comma fraction numerator 3 over denominator 4 end fraction close parentheses](data:image/png;base64,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)
Related Questions to study
maths-
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.
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.
maths-General
maths-
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 :
maths-General
maths-
If the sum of first
natural numbers is 1/5 times the sum of their squares, then the value of
is
If the sum of first
natural numbers is 1/5 times the sum of their squares, then the value of
is
maths-General
maths-
If
, then the value of x in terms of y is
If
, then the value of x in terms of y is
maths-General
maths-
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.
maths-General
Maths-
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)
Maths-
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
Maths-
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
Maths-General
Maths-
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 -
Maths-General
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
maths-
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 -
maths-General
maths-
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