1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the circle whose centre lies on the line $$x-4 y=1$$ and which passes through the points $$(3,7)$$ and $$(5,5)$$ is

A
$$x^2+y^2+6 x-2 y+90=0$$
B
$$x^2+y^2-6 x-2 y-25=0$$
C
$$x^2+y^2-6 x+2 y-30=0$$
D
$$x^2+y^2+6 x+2 y-90=0$$
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^{\frac{\pi}{2}} \frac{\sin x-\cos x}{1-\sin x \cos x} d x=$$

A
$$\frac{\pi}{4}$$
B
$$\frac{2}{\pi}$$
C
0
D
$$\frac{\pi}{2}$$
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$A=\left[\begin{array}{ccc}1 & 0 & 2 \\ -1 & 1 & -2 \\ 0 & 2 & 1\end{array}\right], \operatorname{adj} A=\left[\begin{array}{ccc}5 & x & -2 \\ 1 & 1 & 0 \\ -2 & -2 & y\end{array}\right]$$, then value of $$x+y$$ is

A
6
B
3
C
4
D
5
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The shaded figure given below is the solution set for the linear inequations. Choose the correct option.

MHT CET 2021 21th September Morning Shift Mathematics - Linear Programming Question 44 English

A
$$3 x+4 y \geq 18 ; x-6 y \leq 3 ; 2 x+3 y \geq 3 ; 7 x-14 y \leq 14 ; x \geq 0 ; y \geq 0$$
B
$$3 \mathrm{x}+4 \mathrm{y} \leq 18 ; \mathrm{x}-6 \mathrm{y} \leq 3 ; 2 \mathrm{x}+3 \mathrm{y} \leq 3 ;-7 \mathrm{x}+14 \mathrm{y} \geq 14 ; \mathrm{x} \geq 0 ; \mathrm{y} \geq 0$$
C
$$3 \mathrm{x}+4 \mathrm{y} \leq 18 ; \mathrm{x}-6 \mathrm{y} \leq 3 ; 2 \mathrm{x}+3 \mathrm{y} \geq 3 ;-7 \mathrm{x}+14 \mathrm{y} \leq 14 ; \mathrm{x} \geq 0; \mathrm{y} \geq 0$$
D
$$3 x+4 y \geq-18 ; x-6 y \leq 3 ; 2 x+3 y \leq 3 ;-7 x+14 y \geq 14 ; x \geq 0 ; y \geq 0$$
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