Let c and d be vectors such that | c + d | = 29 and c (2 i + 3 j + 4 k ) = (2 i + 3 j + 4 k ) d . If _1, _2 (...

Question

Let c and d be vectors such that | c + d | = 29 and c (2 i + 3 j + 4 k ) = (2 i + 3 j + 4 k ) d . If _1, _2 ( _1 > _2) are the possible values of ( c + d ) (-7 i + 2 j + 3 k ), then the equation K^2x^2 + (K^2 - 5K + _1)xy + (3K + _2 2 )y^2 - 8x + 12y + _2 = 0 represents a circle, for K equal to :

Accepted Answer

(2)

JEE Main 2026 Mathematics question

Solution