If the points `(a,a^(2)) and (1,2)` lie in the same angular region between the lines `3x+4y-1=0` and `2x+y-3=0` , thenA. `a lt -3` or , `a gt 1`B. `a in [-3,1]`C. `a lt (1)/(4)` or , ` a gt -1`D. none of these

If the points `(a,a^(2)) and (1,2)` lie in the same angular region bet

1.	If the points `(a,a^(2)) and (1,2)` lie in the same angular region between the lines `3x+4y-1=0` and `2x+y-3=0` , thenA. `a lt -3` or , `a gt 1`B. `a in [-3,1]`C. `a lt (1)/(4)` or , ` a gt -1`D. none of these
Answer» Correct Answer - A Given points will lie in the same angular region between the lines `3x+4y-1=0 and 2x+y-3=0` , if they lie on the same side of the two lines. `therefore (3a +4a^(2)-1)(3+8-1) gt 0 and (2a + a^(2)-3)(2+2-3) gt 0` `implies 4a^(2)+ 3a -1 gt 0 and a^(2)+ 2a-3 gt 0` `implies (4a-1)(a+1) gt 0 and (a+3)(a-1) gt 0` `implies (a lt -1 ` or , `a gt (1)/(4)) and (a lt -3 ` or , `a gt 1) implies a lt -3 ` or, `a gt 1`

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If the points `(a,a^(2)) and (1,2)` lie in the same angular region between the lines `3x+4y-1=0` and `2x+y-3=0` , thenA. `a lt -3` or , `a gt 1`B. `a in [-3,1]`C. `a lt (1)/(4)` or , ` a gt -1`D. none of these

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