que no.24 plzzz
que no.24 plzzz 212
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A Class Book of Mathematics -
The area of a triangle is S sq. units. Two or its vertices are (2. l) and (3, Find the third
93,
(x, y) if x + 3 y.
The vertices ofa triangle ABC are S), (3. l) and (5, 7). Find the area of the triangle
IHS911
joining the mid.points of the sides of &4BC.
Show that the points 3). B (-1, -S) and C (2, —S) form a right angled triangle. If a
ABCD be completed. find the coordinates ofD.
The line segment joining the points (2, -2) and (4, 6) is extended at both ends uplo half of i
length. Find the coordinates of the extreme points.
If P divides the side BC of AOBC in the ratio m : n. prove that
• BC2 + (m + n) •
n • OB2 + m • OC2 =
If two medians of a triangle are equal, using coordinate geometry of two dimensions. prove tk
triangle is isosceles.
Find the area of the quadrilateral formed by the points (l, 2), (=2. 3), (2. 4) and (3, 4) taken i
order.
Find the equation to the locus of a point whose distances from two fixed points 0) and (a, l)
are in a constant ratio k.
Find the equation to the locus of a point which is equidistant from the points (l, l) and (-1. -li
Ills n
Find the equation to the locus of a point whose distance from the X-axis is double its
the Y-axis.
rod AB of length a + b slides in the 1st quadrant such that its ends A and B remain in contxt
• the axes. Find the equation to the locus ofa moving point P on AB such that AP : PB = b
Given three points A (a, O), B O), C (c, 0); find the equation to the locus of the point p if
PA2 + PB2 2PC2.
32. A O) and B (a, O) are two fixed points. Show that the locus ofa point P such that
CHA
121 Sl
directio:
line ant
and if
called t!
The equation x2 + y: O does not represent any locus — Give reasons.
(0.0), (10. 0). (10, 5), (0, 5)
(i) right-angled
(1) Square
(ii) equilateral
(ii) rhombus
ANSWERS
(iii) isosceles
(iii) parallelogram
(iv) rectangle
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