1
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The angle between the line $x+y=3$ and the line joining the points $(1,1)$ and $(-3,4)$ is

A
$\tan ^{-1}(7)$
B
$\tan ^{-1}\left(-\frac{1}{7}\right)$
C
$\tan ^{-1}\left(\frac{1}{7}\right)$
D
$\tan ^{-1}\left(\frac{2}{7}\right)$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

A line passes through $$(2,2)$$ and is perpendicular to the line $$3 x+y=3$$. Its $$y$$-intercept is

A
$$\frac{2}{3}$$
B
1
C
$$\frac{4}{3}$$
D
$$\frac{1}{3}$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If the straight line $$2 x-3 y+17=0$$ is perpendicular to the line passing through the points $$(7,17)$$ and $$(15, \beta)$$, then $$\beta$$ equals

A
$$-$$5
B
5
C
29
D
$$-$$29
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If the vertices of a triangle are $$(-2,6),(3,-6)$$ and $$(1,5)$$, then the area of the triangle is

A
40 sq. units
B
15.5 sq. units
C
30 sq. units
D
35 sq. units
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