MHT CET
Mathematics
Properties of Triangles
Previous Years Questions

If the vertices of a triangle are $$(-2,3),(6,-1)$$ and $$(4,3)$$, then the co-ordinates of the circumcentre of the triangle are
In triangle $$\mathrm{ABC}$$ with usual notations $$\mathrm{b}=\sqrt{3}, \mathrm{c}=1, \mathrm{~m} \angle \mathrm{A}=30^{\circ}$$, then the largest an...
If the angles of a triangle are in the ratio $$4: 1: 1$$, then the ratio of the longest side to its perimeter is
If in $$\triangle \mathrm{ABC}$$, with usual notations, $$a \cdot \cos ^2 \frac{C}{2}+c \cos ^2 \frac{A}{2}=\frac{3 b}{2}$$, then
In a triangle $$\mathrm{ABC}$$, with usual notations, if $$\mathrm{m} \angle \mathrm{A}=60^{\circ}, \mathrm{b}=8, \mathrm{a}=6$$ and $$\mathrm{B}=\sin... In a triangle$$\mathrm{ABC}$$, with usual notations, if$$\mathrm{c}=4$$, then value of$$(a-b)^2 \cos ^2 \frac{C}{2}+(a+b)^2 \sin ^2 \frac{C}{2}$$i... If one side of a triangle is double the other and the angles opposite to these sides differ by$$60^{\circ}$$, then the triangle is In$$\triangle \mathrm{PQR}, \sin \mathrm{P}, \sin \mathrm{Q}$$and$$\sin \mathrm{R}$$are in A.P., then Let$$a, b, c$$be the lengths of sides of triangle$$A B C$$such that$$\frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9}=k$$. Then$$\frac{(\mathrm{A}(\tri...
In $$\triangle \mathrm{ABC}$$, with usual notations, $$\mathrm{m} \angle \mathrm{C}=\frac{\pi}{2}$$, if $$\tan \left(\frac{A}{2}\right)$$ and $$\tan \... Two sides of a triangle are$$\sqrt{3}+1$$and$$\sqrt{3}-1$$and the included angle is$$60^{\circ}$$, then the difference of the remaining angles is... With usual notations, perimeter of a triangle$$A B C$$is 6 times the arithmetic mean of sine of its angles. If$$\mathrm{a}=1, then measure of ang...
With usual notations if the angles of a triangle are in the ratio 1 : 2 : 3, then their corresponding sides are in the ratio.
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